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Finding the Fourth Proportional to 625.53, 938.82 and 406.26

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Solution

The fourth proportional to 625.53, 938.82 and 406.26 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.53 : 938.82 = 406.26 : x
  2. Step 2: Convert to fraction form
    625.53/938.82 = 406.26/x
  3. Step 3: Cross multiply
    625.53x = 938.82 × 406.26
  4. Step 4: Simplify right side
    625.53x = 381,406.54
  5. Step 5: Solve for x
    x = 381,406.54/625.53
  6. Step 6: Final answer
    x = 609.74

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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.