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Finding the Fourth Proportional to 625.70, 863.12 and 363.66

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Solution

The fourth proportional to 625.70, 863.12 and 363.66 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.70 : 863.12 = 363.66 : x
  2. Step 2: Convert to fraction form
    625.70/863.12 = 363.66/x
  3. Step 3: Cross multiply
    625.70x = 863.12 × 363.66
  4. Step 4: Simplify right side
    625.70x = 313,882.22
  5. Step 5: Solve for x
    x = 313,882.22/625.70
  6. Step 6: Final answer
    x = 501.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.