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Finding the Fourth Proportional to 391.40, 587.51 and 160.28

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Solution

The fourth proportional to 391.40, 587.51 and 160.28 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.40 : 587.51 = 160.28 : x
  2. Step 2: Convert to fraction form
    391.40/587.51 = 160.28/x
  3. Step 3: Cross multiply
    391.40x = 587.51 × 160.28
  4. Step 4: Simplify right side
    391.40x = 94,166.10
  5. Step 5: Solve for x
    x = 94,166.10/391.40
  6. Step 6: Final answer
    x = 240.59

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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.