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Finding the Fourth Proportional to 391.64, 540.43 and 234.27

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Solution

The fourth proportional to 391.64, 540.43 and 234.27 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 540.43 = 234.27 : x
  2. Step 2: Convert to fraction form
    391.64/540.43 = 234.27/x
  3. Step 3: Cross multiply
    391.64x = 540.43 × 234.27
  4. Step 4: Simplify right side
    391.64x = 126,606.54
  5. Step 5: Solve for x
    x = 126,606.54/391.64
  6. Step 6: Final answer
    x = 323.27

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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.