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Finding the Fourth Proportional to 363.20, 500.60 and 232

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Solution

The fourth proportional to 363.20, 500.60 and 232 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 500.60 = 232 : x
  2. Step 2: Convert to fraction form
    363.20/500.60 = 232/x
  3. Step 3: Cross multiply
    363.20x = 500.60 × 232
  4. Step 4: Simplify right side
    363.20x = 116,139.20
  5. Step 5: Solve for x
    x = 116,139.20/363.20
  6. Step 6: Final answer
    x = 319.77

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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.