Round 0.4625 to the nearest cent

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

0.4625 rounded to the nearest cent is 0.46