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Finding the Fourth Proportional to 521.30, 782.15 and 232.53

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Solution

The fourth proportional to 521.30, 782.15 and 232.53 is: 348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 782.15 = 232.53 : x
  2. Step 2: Convert to fraction form
    521.30/782.15 = 232.53/x
  3. Step 3: Cross multiply
    521.30x = 782.15 × 232.53
  4. Step 4: Simplify right side
    521.30x = 181,872.18
  5. Step 5: Solve for x
    x = 181,872.18/521.30
  6. Step 6: Final answer
    x = 348.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.