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Finding the Fourth Proportional to 394.41, 591.63 and 137.91

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Solution

The fourth proportional to 394.41, 591.63 and 137.91 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.41 : 591.63 = 137.91 : x
  2. Step 2: Convert to fraction form
    394.41/591.63 = 137.91/x
  3. Step 3: Cross multiply
    394.41x = 591.63 × 137.91
  4. Step 4: Simplify right side
    394.41x = 81,591.69
  5. Step 5: Solve for x
    x = 81,591.69/394.41
  6. Step 6: Final answer
    x = 206.87

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Why These Related Problems?

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