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Finding the Fourth Proportional to 363.86, 502.32 and 224.02

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Solution

The fourth proportional to 363.86, 502.32 and 224.02 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 502.32 = 224.02 : x
  2. Step 2: Convert to fraction form
    363.86/502.32 = 224.02/x
  3. Step 3: Cross multiply
    363.86x = 502.32 × 224.02
  4. Step 4: Simplify right side
    363.86x = 112,529.73
  5. Step 5: Solve for x
    x = 112,529.73/363.86
  6. Step 6: Final answer
    x = 309.27

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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.