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Finding the Fourth Proportional to 394.90, 545.02 and 237.54

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Solution

The fourth proportional to 394.90, 545.02 and 237.54 is: 327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.90 : 545.02 = 237.54 : x
  2. Step 2: Convert to fraction form
    394.90/545.02 = 237.54/x
  3. Step 3: Cross multiply
    394.90x = 545.02 × 237.54
  4. Step 4: Simplify right side
    394.90x = 129,464.05
  5. Step 5: Solve for x
    x = 129,464.05/394.90
  6. Step 6: Final answer
    x = 327.84

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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.