To round the number 461.486 to the nearest hundredth, follow these steps:
1. Identify the hundredth place in the number. In 461.486, the hundredth place is the second digit to the right of the decimal point, which is 8.
2. Look at the digit immediately to the right of the hundredth place to determine whether to round up or keep the same. This digit is in the thousandth place, which is 6.
3. If this digit (in the thousandth place) is 5 or greater, round up the digit in the hundredth place by one. If the digit is less than 5, leave the digit in the hundredth place as it is. Since the thousandth place has a 6 (which is greater than 5), we need to round up the hundredth place.
4. Therefore, increase the 8 in the hundredth place by 1, making it 9.
5. As a result, the number 461.486 rounded to the nearest hundredth is 461.49.
Hence, 461.486 rounded to the nearest hundredth is 461.49.