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Finding the Fourth Proportional to 591.43, 816.27 and 426.19

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Solution

The fourth proportional to 591.43, 816.27 and 426.19 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.43 : 816.27 = 426.19 : x
  2. Step 2: Convert to fraction form
    591.43/816.27 = 426.19/x
  3. Step 3: Cross multiply
    591.43x = 816.27 × 426.19
  4. Step 4: Simplify right side
    591.43x = 347,886.11
  5. Step 5: Solve for x
    x = 347,886.11/591.43
  6. Step 6: Final answer
    x = 588.21

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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.