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Finding the Fourth Proportional to 363.74, 502.14 and 232.83

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Solution

The fourth proportional to 363.74, 502.14 and 232.83 is: 321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.74 : 502.14 = 232.83 : x
  2. Step 2: Convert to fraction form
    363.74/502.14 = 232.83/x
  3. Step 3: Cross multiply
    363.74x = 502.14 × 232.83
  4. Step 4: Simplify right side
    363.74x = 116,911.10
  5. Step 5: Solve for x
    x = 116,911.10/363.74
  6. Step 6: Final answer
    x = 321.41

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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.