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Finding the Fourth Proportional to 531.68, 733.90 and 457.70

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Solution

The fourth proportional to 531.68, 733.90 and 457.70 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 733.90 = 457.70 : x
  2. Step 2: Convert to fraction form
    531.68/733.90 = 457.70/x
  3. Step 3: Cross multiply
    531.68x = 733.90 × 457.70
  4. Step 4: Simplify right side
    531.68x = 335,906.03
  5. Step 5: Solve for x
    x = 335,906.03/531.68
  6. Step 6: Final answer
    x = 631.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.