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Finding the Fourth Proportional to 625.20, 862.82 and 415.02

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Solution

The fourth proportional to 625.20, 862.82 and 415.02 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.20 : 862.82 = 415.02 : x
  2. Step 2: Convert to fraction form
    625.20/862.82 = 415.02/x
  3. Step 3: Cross multiply
    625.20x = 862.82 × 415.02
  4. Step 4: Simplify right side
    625.20x = 358,087.56
  5. Step 5: Solve for x
    x = 358,087.56/625.20
  6. Step 6: Final answer
    x = 572.76

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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.