Answer :

0.4625 rounded to the nearest cent is 0.46
0.4625

The 2 is rounded to a 3 because 5 rounds up.
0.463

The 6 stays the same because 3 rounds down.
0.46

Now I'm not sure if you're talking about money so if you are, the answer would be
$0.46

If you are talking about the specific cent and only cent, you continue rounding.

The 4 is rounded to a 5 because 6 rounds up.
0.5

$0.05