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Finding the Fourth Proportional to 391.56, 540.46 and 234.14

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Solution

The fourth proportional to 391.56, 540.46 and 234.14 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.56 : 540.46 = 234.14 : x
  2. Step 2: Convert to fraction form
    391.56/540.46 = 234.14/x
  3. Step 3: Cross multiply
    391.56x = 540.46 × 234.14
  4. Step 4: Simplify right side
    391.56x = 126,543.30
  5. Step 5: Solve for x
    x = 126,543.30/391.56
  6. Step 6: Final answer
    x = 323.18

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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.