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Finding the Fourth Proportional to 363.79, 502.25 and 232.88

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Solution

The fourth proportional to 363.79, 502.25 and 232.88 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.79 : 502.25 = 232.88 : x
  2. Step 2: Convert to fraction form
    363.79/502.25 = 232.88/x
  3. Step 3: Cross multiply
    363.79x = 502.25 × 232.88
  4. Step 4: Simplify right side
    363.79x = 116,961.61
  5. Step 5: Solve for x
    x = 116,961.61/363.79
  6. Step 6: Final answer
    x = 321.51

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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.