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Finding the Fourth Proportional to 625.36, 862.71 and 404.38

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Solution

The fourth proportional to 625.36, 862.71 and 404.38 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.36 : 862.71 = 404.38 : x
  2. Step 2: Convert to fraction form
    625.36/862.71 = 404.38/x
  3. Step 3: Cross multiply
    625.36x = 862.71 × 404.38
  4. Step 4: Simplify right side
    625.36x = 348,861.30
  5. Step 5: Solve for x
    x = 348,861.30/625.36
  6. Step 6: Final answer
    x = 557.86

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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.