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Finding the Fourth Proportional to 391.68, 587.46 and 229.20

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Solution

The fourth proportional to 391.68, 587.46 and 229.20 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.68 : 587.46 = 229.20 : x
  2. Step 2: Convert to fraction form
    391.68/587.46 = 229.20/x
  3. Step 3: Cross multiply
    391.68x = 587.46 × 229.20
  4. Step 4: Simplify right side
    391.68x = 134,645.83
  5. Step 5: Solve for x
    x = 134,645.83/391.68
  6. Step 6: Final answer
    x = 343.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.