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Finding the Fourth Proportional to 424.13, 635.99 and 239.31

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Solution

The fourth proportional to 424.13, 635.99 and 239.31 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 635.99 = 239.31 : x
  2. Step 2: Convert to fraction form
    424.13/635.99 = 239.31/x
  3. Step 3: Cross multiply
    424.13x = 635.99 × 239.31
  4. Step 4: Simplify right side
    424.13x = 152,197.57
  5. Step 5: Solve for x
    x = 152,197.57/424.13
  6. Step 6: Final answer
    x = 358.85

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Why These Related Problems?

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