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Finding the Fourth Proportional to 394.27, 543.92 and 296.26

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Solution

The fourth proportional to 394.27, 543.92 and 296.26 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.27 : 543.92 = 296.26 : x
  2. Step 2: Convert to fraction form
    394.27/543.92 = 296.26/x
  3. Step 3: Cross multiply
    394.27x = 543.92 × 296.26
  4. Step 4: Simplify right side
    394.27x = 161,138.90
  5. Step 5: Solve for x
    x = 161,138.90/394.27
  6. Step 6: Final answer
    x = 408.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.