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Finding the Fourth Proportional to 426.26, 588.26 and 327.85

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Solution

The fourth proportional to 426.26, 588.26 and 327.85 is: 452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.26 : 588.26 = 327.85 : x
  2. Step 2: Convert to fraction form
    426.26/588.26 = 327.85/x
  3. Step 3: Cross multiply
    426.26x = 588.26 × 327.85
  4. Step 4: Simplify right side
    426.26x = 192,860.39
  5. Step 5: Solve for x
    x = 192,860.39/426.26
  6. Step 6: Final answer
    x = 452.45

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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.