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Finding the Fourth Proportional to 625.52, 862.84 and 404.12

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Solution

The fourth proportional to 625.52, 862.84 and 404.12 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.52 : 862.84 = 404.12 : x
  2. Step 2: Convert to fraction form
    625.52/862.84 = 404.12/x
  3. Step 3: Cross multiply
    625.52x = 862.84 × 404.12
  4. Step 4: Simplify right side
    625.52x = 348,690.90
  5. Step 5: Solve for x
    x = 348,690.90/625.52
  6. Step 6: Final answer
    x = 557.44

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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.