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Finding the Fourth Proportional to 394.92, 591.23 and 369.27

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Solution

The fourth proportional to 394.92, 591.23 and 369.27 is: 552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 591.23 = 369.27 : x
  2. Step 2: Convert to fraction form
    394.92/591.23 = 369.27/x
  3. Step 3: Cross multiply
    394.92x = 591.23 × 369.27
  4. Step 4: Simplify right side
    394.92x = 218,321.66
  5. Step 5: Solve for x
    x = 218,321.66/394.92
  6. Step 6: Final answer
    x = 552.83

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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.