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Finding the Fourth Proportional to 625.29, 863.09 and 404.24

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Solution

The fourth proportional to 625.29, 863.09 and 404.24 is: 557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.29 : 863.09 = 404.24 : x
  2. Step 2: Convert to fraction form
    625.29/863.09 = 404.24/x
  3. Step 3: Cross multiply
    625.29x = 863.09 × 404.24
  4. Step 4: Simplify right side
    625.29x = 348,895.50
  5. Step 5: Solve for x
    x = 348,895.50/625.29
  6. Step 6: Final answer
    x = 557.97

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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.