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Finding the Fourth Proportional to 426.96, 639.83 and 243.97

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Solution

The fourth proportional to 426.96, 639.83 and 243.97 is: 365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 639.83 = 243.97 : x
  2. Step 2: Convert to fraction form
    426.96/639.83 = 243.97/x
  3. Step 3: Cross multiply
    426.96x = 639.83 × 243.97
  4. Step 4: Simplify right side
    426.96x = 156,099.33
  5. Step 5: Solve for x
    x = 156,099.33/426.96
  6. Step 6: Final answer
    x = 365.61

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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.