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Finding the Fourth Proportional to 394.92, 545.02 and 229.19

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Solution

The fourth proportional to 394.92, 545.02 and 229.19 is: 316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 545.02 = 229.19 : x
  2. Step 2: Convert to fraction form
    394.92/545.02 = 229.19/x
  3. Step 3: Cross multiply
    394.92x = 545.02 × 229.19
  4. Step 4: Simplify right side
    394.92x = 124,913.13
  5. Step 5: Solve for x
    x = 124,913.13/394.92
  6. Step 6: Final answer
    x = 316.30

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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.