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Finding the Fourth Proportional to 342.32, 472.76 and 232.24

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Solution

The fourth proportional to 342.32, 472.76 and 232.24 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 472.76 = 232.24 : x
  2. Step 2: Convert to fraction form
    342.32/472.76 = 232.24/x
  3. Step 3: Cross multiply
    342.32x = 472.76 × 232.24
  4. Step 4: Simplify right side
    342.32x = 109,793.78
  5. Step 5: Solve for x
    x = 109,793.78/342.32
  6. Step 6: Final answer
    x = 320.73

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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.