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Finding the Fourth Proportional to 363.93, 502.06 and 232.71

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Solution

The fourth proportional to 363.93, 502.06 and 232.71 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 502.06 = 232.71 : x
  2. Step 2: Convert to fraction form
    363.93/502.06 = 232.71/x
  3. Step 3: Cross multiply
    363.93x = 502.06 × 232.71
  4. Step 4: Simplify right side
    363.93x = 116,834.38
  5. Step 5: Solve for x
    x = 116,834.38/363.93
  6. Step 6: Final answer
    x = 321.04

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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.