To determine the value that is 52.6% larger than 480, we can follow these steps:
1. Identify the original value and the percentage increase:
- Original value: 480
- Percentage increase: 52.6%
2. Convert the percentage increase to a decimal:
- [tex]\( 52.6\% = \frac{52.6}{100} = 0.526 \)[/tex]
3. Calculate the amount of the increase:
- Increase amount = Original value × Percentage increase
- Increase amount = 480 × 0.526
- Increase amount = 252.48
4. Add the increase amount to the original value to find the final value:
- Final value = Original value + Increase amount
- Final value = 480 + 252.48
- Final value = 732.48
So, the value that is 52.6% larger than 480 is 732.48.
