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Finding the Fourth Proportional to 426.98, 588.89 and 327.44

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Solution

The fourth proportional to 426.98, 588.89 and 327.44 is: 451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.98 : 588.89 = 327.44 : x
  2. Step 2: Convert to fraction form
    426.98/588.89 = 327.44/x
  3. Step 3: Cross multiply
    426.98x = 588.89 × 327.44
  4. Step 4: Simplify right side
    426.98x = 192,824.02
  5. Step 5: Solve for x
    x = 192,824.02/426.98
  6. Step 6: Final answer
    x = 451.60

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