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Finding the Fourth Proportional to 391.68, 540.64 and 234.40

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Solution

The fourth proportional to 391.68, 540.64 and 234.40 is: 323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.68 : 540.64 = 234.40 : x
  2. Step 2: Convert to fraction form
    391.68/540.64 = 234.40/x
  3. Step 3: Cross multiply
    391.68x = 540.64 × 234.40
  4. Step 4: Simplify right side
    391.68x = 126,726.02
  5. Step 5: Solve for x
    x = 126,726.02/391.68
  6. Step 6: Final answer
    x = 323.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.