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Finding the Fourth Proportional to 363.76, 502.32 and 232.99

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Solution

The fourth proportional to 363.76, 502.32 and 232.99 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.76 : 502.32 = 232.99 : x
  2. Step 2: Convert to fraction form
    363.76/502.32 = 232.99/x
  3. Step 3: Cross multiply
    363.76x = 502.32 × 232.99
  4. Step 4: Simplify right side
    363.76x = 117,035.54
  5. Step 5: Solve for x
    x = 117,035.54/363.76
  6. Step 6: Final answer
    x = 321.74

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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.