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Finding the Fourth Proportional to 363.69, 502.17 and 224.00

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Solution

The fourth proportional to 363.69, 502.17 and 224.00 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 502.17 = 224.00 : x
  2. Step 2: Convert to fraction form
    363.69/502.17 = 224.00/x
  3. Step 3: Cross multiply
    363.69x = 502.17 × 224.00
  4. Step 4: Simplify right side
    363.69x = 112,484.61
  5. Step 5: Solve for x
    x = 112,484.61/363.69
  6. Step 6: Final answer
    x = 309.29

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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.