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Finding the Fourth Proportional to 625.50, 863.24 and 363.57

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Solution

The fourth proportional to 625.50, 863.24 and 363.57 is: 501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.50 : 863.24 = 363.57 : x
  2. Step 2: Convert to fraction form
    625.50/863.24 = 363.57/x
  3. Step 3: Cross multiply
    625.50x = 863.24 × 363.57
  4. Step 4: Simplify right side
    625.50x = 313,846.35
  5. Step 5: Solve for x
    x = 313,846.35/625.50
  6. Step 6: Final answer
    x = 501.75

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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.