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Finding the Fourth Proportional to 439.52, 658.32 and 410.24

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Solution

The fourth proportional to 439.52, 658.32 and 410.24 is: 614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.52 : 658.32 = 410.24 : x
  2. Step 2: Convert to fraction form
    439.52/658.32 = 410.24/x
  3. Step 3: Cross multiply
    439.52x = 658.32 × 410.24
  4. Step 4: Simplify right side
    439.52x = 270,069.20
  5. Step 5: Solve for x
    x = 270,069.20/439.52
  6. Step 6: Final answer
    x = 614.46

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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.