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Finding the Fourth Proportional to 363.90, 501.92 and 232.78

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Solution

The fourth proportional to 363.90, 501.92 and 232.78 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.90 : 501.92 = 232.78 : x
  2. Step 2: Convert to fraction form
    363.90/501.92 = 232.78/x
  3. Step 3: Cross multiply
    363.90x = 501.92 × 232.78
  4. Step 4: Simplify right side
    363.90x = 116,836.94
  5. Step 5: Solve for x
    x = 116,836.94/363.90
  6. Step 6: Final answer
    x = 321.07

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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.