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Finding the Fourth Proportional to 422.29, 582.24 and 363.16

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Solution

The fourth proportional to 422.29, 582.24 and 363.16 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.29 : 582.24 = 363.16 : x
  2. Step 2: Convert to fraction form
    422.29/582.24 = 363.16/x
  3. Step 3: Cross multiply
    422.29x = 582.24 × 363.16
  4. Step 4: Simplify right side
    422.29x = 211,446.28
  5. Step 5: Solve for x
    x = 211,446.28/422.29
  6. Step 6: Final answer
    x = 500.71

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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.