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Finding the Fourth Proportional to 625.98, 938.07 and 460.15

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Solution

The fourth proportional to 625.98, 938.07 and 460.15 is: 689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.98 : 938.07 = 460.15 : x
  2. Step 2: Convert to fraction form
    625.98/938.07 = 460.15/x
  3. Step 3: Cross multiply
    625.98x = 938.07 × 460.15
  4. Step 4: Simplify right side
    625.98x = 431,652.91
  5. Step 5: Solve for x
    x = 431,652.91/625.98
  6. Step 6: Final answer
    x = 689.56

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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.