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Finding the Fourth Proportional to 482.90, 724.45 and 239.14

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Solution

The fourth proportional to 482.90, 724.45 and 239.14 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.90 : 724.45 = 239.14 : x
  2. Step 2: Convert to fraction form
    482.90/724.45 = 239.14/x
  3. Step 3: Cross multiply
    482.90x = 724.45 × 239.14
  4. Step 4: Simplify right side
    482.90x = 173,244.97
  5. Step 5: Solve for x
    x = 173,244.97/482.90
  6. Step 6: Final answer
    x = 358.76

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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.