Explanation:

- Start with the expression: \( 462 \div 5.25 + 24 \times 12 \).

- First calculate \( 462 \div 5.25 \):

- Convert 5.25 to a fraction: \( 5.25 = \frac{21}{4} \).

- Multiply 462 by the reciprocal of \(\frac{21}{4}\): \( 462 \times \frac{4}{21} = 88 \).

- Next calculate \( 24 \times 12 \):

- This equals \( 288 \).

- Add the results: \( 88 + 288 = 376 \).

- Option 3: 376 is the correct answer.