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Finding the Fourth Proportional to 679.52, 938.22 and 417.62

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Solution

The fourth proportional to 679.52, 938.22 and 417.62 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.52 : 938.22 = 417.62 : x
  2. Step 2: Convert to fraction form
    679.52/938.22 = 417.62/x
  3. Step 3: Cross multiply
    679.52x = 938.22 × 417.62
  4. Step 4: Simplify right side
    679.52x = 391,819.44
  5. Step 5: Solve for x
    x = 391,819.44/679.52
  6. Step 6: Final answer
    x = 576.61

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Why These Related Problems?

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