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Finding the Fourth Proportional to 426.67, 588.97 and 295.75

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Solution

The fourth proportional to 426.67, 588.97 and 295.75 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.67 : 588.97 = 295.75 : x
  2. Step 2: Convert to fraction form
    426.67/588.97 = 295.75/x
  3. Step 3: Cross multiply
    426.67x = 588.97 × 295.75
  4. Step 4: Simplify right side
    426.67x = 174,188.98
  5. Step 5: Solve for x
    x = 174,188.98/426.67
  6. Step 6: Final answer
    x = 408.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.