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Finding the Fourth Proportional to 521.38, 781.24 and 423.40

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Solution

The fourth proportional to 521.38, 781.24 and 423.40 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.38 : 781.24 = 423.40 : x
  2. Step 2: Convert to fraction form
    521.38/781.24 = 423.40/x
  3. Step 3: Cross multiply
    521.38x = 781.24 × 423.40
  4. Step 4: Simplify right side
    521.38x = 330,775.91
  5. Step 5: Solve for x
    x = 330,775.91/521.38
  6. Step 6: Final answer
    x = 634.43

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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.