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Finding the Fourth Proportional to 394.70, 591.96 and 120.71

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Solution

The fourth proportional to 394.70, 591.96 and 120.71 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.70 : 591.96 = 120.71 : x
  2. Step 2: Convert to fraction form
    394.70/591.96 = 120.71/x
  3. Step 3: Cross multiply
    394.70x = 591.96 × 120.71
  4. Step 4: Simplify right side
    394.70x = 71,452.53
  5. Step 5: Solve for x
    x = 71,452.53/394.70
  6. Step 6: Final answer
    x = 181.03

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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.