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Finding the Fourth Proportional to 426.40, 639.78 and 261.88

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Solution

The fourth proportional to 426.40, 639.78 and 261.88 is: 392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.40 : 639.78 = 261.88 : x
  2. Step 2: Convert to fraction form
    426.40/639.78 = 261.88/x
  3. Step 3: Cross multiply
    426.40x = 639.78 × 261.88
  4. Step 4: Simplify right side
    426.40x = 167,545.59
  5. Step 5: Solve for x
    x = 167,545.59/426.40
  6. Step 6: Final answer
    x = 392.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.