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Finding the Fourth Proportional to 625.43, 862.16 and 514.73

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Solution

The fourth proportional to 625.43, 862.16 and 514.73 is: 709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.43 : 862.16 = 514.73 : x
  2. Step 2: Convert to fraction form
    625.43/862.16 = 514.73/x
  3. Step 3: Cross multiply
    625.43x = 862.16 × 514.73
  4. Step 4: Simplify right side
    625.43x = 443,779.20
  5. Step 5: Solve for x
    x = 443,779.20/625.43
  6. Step 6: Final answer
    x = 709.56

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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.