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Finding the Fourth Proportional to 363.11, 501.17 and 232.09

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Solution

The fourth proportional to 363.11, 501.17 and 232.09 is: 320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.11 : 501.17 = 232.09 : x
  2. Step 2: Convert to fraction form
    363.11/501.17 = 232.09/x
  3. Step 3: Cross multiply
    363.11x = 501.17 × 232.09
  4. Step 4: Simplify right side
    363.11x = 116,316.55
  5. Step 5: Solve for x
    x = 116,316.55/363.11
  6. Step 6: Final answer
    x = 320.33

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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.