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Finding the Fourth Proportional to 391.62, 540.37 and 234.32

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Solution

The fourth proportional to 391.62, 540.37 and 234.32 is: 323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.62 : 540.37 = 234.32 : x
  2. Step 2: Convert to fraction form
    391.62/540.37 = 234.32/x
  3. Step 3: Cross multiply
    391.62x = 540.37 × 234.32
  4. Step 4: Simplify right side
    391.62x = 126,616.80
  5. Step 5: Solve for x
    x = 126,616.80/391.62
  6. Step 6: Final answer
    x = 323.32

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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.