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Finding the Fourth Proportional to 363.97, 502.43 and 233.16

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Solution

The fourth proportional to 363.97, 502.43 and 233.16 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 502.43 = 233.16 : x
  2. Step 2: Convert to fraction form
    363.97/502.43 = 233.16/x
  3. Step 3: Cross multiply
    363.97x = 502.43 × 233.16
  4. Step 4: Simplify right side
    363.97x = 117,146.58
  5. Step 5: Solve for x
    x = 117,146.58/363.97
  6. Step 6: Final answer
    x = 321.86

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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.