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Finding the Fourth Proportional to 625.60, 938.17 and 214.62

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Solution

The fourth proportional to 625.60, 938.17 and 214.62 is: 321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.60 : 938.17 = 214.62 : x
  2. Step 2: Convert to fraction form
    625.60/938.17 = 214.62/x
  3. Step 3: Cross multiply
    625.60x = 938.17 × 214.62
  4. Step 4: Simplify right side
    625.60x = 201,348.97
  5. Step 5: Solve for x
    x = 201,348.97/625.60
  6. Step 6: Final answer
    x = 321.85

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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.