Scenario:

I have AKs. I raise the BB by 5 or 6 pre-flop. I have one caller. I am in last position relative to him. The flop comes A-4-7 rainbow. My opponent pushes all-in. I call only to see he has A-4 (two pair) which beats my AK. Is it always correct to call when an ace comes when you hold AK (assuming the board isn't paired and there are no flush draws)? I realize that a good player who pushes all in on the flop when he is first to act probably has a set, but usually good players do not call large pre-flop raises with a pair of 4's or 7's. However, there are a lot of donks on the tables I play on, so it is not uncommon to see people push all in with A-2 when an ace comes on the flop. This is what I thought was happening, and I was right, but it just so happened that his A-rag hit two pair.

Did I make the right move by calling? I realize most plays are situational dependent, but as a general rule, was the play correct when playing against loose players?

I see no reason not to call, especially on a board as uncoordinated as A47. Your opponent will lose money in the long run if he calls pre-flop raises with Ace-junk hands.

you have to call
even when you see what he has you have more outs that you think
3 kings, 3 7s, running flush,, running pair higher than 4, etc

This question is impossible to answer without at least effective stack sizes. If my SPR (stack to pot ratio) on the flop was only 2 or less, then I'd probably snap call every time. But if my SPR on the flop was over 20, then I'd probably fold most times. In that big middle area, like it usually is in most games, then it would depend on what the effective stacks actually were, and what range of hands I put villain on to make that kind of play.

So, what are the effective stacks? Even if it's a 100bb max buy-in game, if one of you is short stacked or if both of you are deep stacked, then it changes the decision significantly.