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Finding the Fourth Proportional to 591.44, 816.27 and 426.20

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Solution

The fourth proportional to 591.44, 816.27 and 426.20 is: 588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.44 : 816.27 = 426.20 : x
  2. Step 2: Convert to fraction form
    591.44/816.27 = 426.20/x
  3. Step 3: Cross multiply
    591.44x = 816.27 × 426.20
  4. Step 4: Simplify right side
    591.44x = 347,894.27
  5. Step 5: Solve for x
    x = 347,894.27/591.44
  6. Step 6: Final answer
    x = 588.22

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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.