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Finding the Fourth Proportional to 426.25, 588.22 and 237.20

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Solution

The fourth proportional to 426.25, 588.22 and 237.20 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.25 : 588.22 = 237.20 : x
  2. Step 2: Convert to fraction form
    426.25/588.22 = 237.20/x
  3. Step 3: Cross multiply
    426.25x = 588.22 × 237.20
  4. Step 4: Simplify right side
    426.25x = 139,523.44
  5. Step 5: Solve for x
    x = 139,523.44/426.25
  6. Step 6: Final answer
    x = 327.33

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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.