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Finding the Fourth Proportional to 394.30, 591.29 and 116.57

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Solution

The fourth proportional to 394.30, 591.29 and 116.57 is: 174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 591.29 = 116.57 : x
  2. Step 2: Convert to fraction form
    394.30/591.29 = 116.57/x
  3. Step 3: Cross multiply
    394.30x = 591.29 × 116.57
  4. Step 4: Simplify right side
    394.30x = 68,926.68
  5. Step 5: Solve for x
    x = 68,926.68/394.30
  6. Step 6: Final answer
    x = 174.81

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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.