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Finding the Fourth Proportional to 539.35, 809.71 and 458.71

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Solution

The fourth proportional to 539.35, 809.71 and 458.71 is: 688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.35 : 809.71 = 458.71 : x
  2. Step 2: Convert to fraction form
    539.35/809.71 = 458.71/x
  3. Step 3: Cross multiply
    539.35x = 809.71 × 458.71
  4. Step 4: Simplify right side
    539.35x = 371,418.03
  5. Step 5: Solve for x
    x = 371,418.03/539.35
  6. Step 6: Final answer
    x = 688.64

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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.