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Finding the Fourth Proportional to 391.74, 587.40 and 144.75

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Solution

The fourth proportional to 391.74, 587.40 and 144.75 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.74 : 587.40 = 144.75 : x
  2. Step 2: Convert to fraction form
    391.74/587.40 = 144.75/x
  3. Step 3: Cross multiply
    391.74x = 587.40 × 144.75
  4. Step 4: Simplify right side
    391.74x = 85,026.15
  5. Step 5: Solve for x
    x = 85,026.15/391.74
  6. Step 6: Final answer
    x = 217.05

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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.