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Finding the Fourth Proportional to 391.87, 587.34 and 160.62

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Solution

The fourth proportional to 391.87, 587.34 and 160.62 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.87 : 587.34 = 160.62 : x
  2. Step 2: Convert to fraction form
    391.87/587.34 = 160.62/x
  3. Step 3: Cross multiply
    391.87x = 587.34 × 160.62
  4. Step 4: Simplify right side
    391.87x = 94,338.55
  5. Step 5: Solve for x
    x = 94,338.55/391.87
  6. Step 6: Final answer
    x = 240.74

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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.