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Finding the Fourth Proportional to 426.92, 639.68 and 264.27

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Solution

The fourth proportional to 426.92, 639.68 and 264.27 is: 395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.92 : 639.68 = 264.27 : x
  2. Step 2: Convert to fraction form
    426.92/639.68 = 264.27/x
  3. Step 3: Cross multiply
    426.92x = 639.68 × 264.27
  4. Step 4: Simplify right side
    426.92x = 169,046.91
  5. Step 5: Solve for x
    x = 169,046.91/426.92
  6. Step 6: Final answer
    x = 395.97

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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.