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Finding the Fourth Proportional to 625.92, 863.62 and 363.78

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Solution

The fourth proportional to 625.92, 863.62 and 363.78 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 863.62 = 363.78 : x
  2. Step 2: Convert to fraction form
    625.92/863.62 = 363.78/x
  3. Step 3: Cross multiply
    625.92x = 863.62 × 363.78
  4. Step 4: Simplify right side
    625.92x = 314,166.77
  5. Step 5: Solve for x
    x = 314,166.77/625.92
  6. Step 6: Final answer
    x = 501.93

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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.