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Finding the Fourth Proportional to 625.70, 863.52 and 363.80

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Solution

The fourth proportional to 625.70, 863.52 and 363.80 is: 502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.70 : 863.52 = 363.80 : x
  2. Step 2: Convert to fraction form
    625.70/863.52 = 363.80/x
  3. Step 3: Cross multiply
    625.70x = 863.52 × 363.80
  4. Step 4: Simplify right side
    625.70x = 314,148.58
  5. Step 5: Solve for x
    x = 314,148.58/625.70
  6. Step 6: Final answer
    x = 502.08

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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.