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Finding the Fourth Proportional to 591.92, 817.20 and 426.56

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Solution

The fourth proportional to 591.92, 817.20 and 426.56 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 817.20 = 426.56 : x
  2. Step 2: Convert to fraction form
    591.92/817.20 = 426.56/x
  3. Step 3: Cross multiply
    591.92x = 817.20 × 426.56
  4. Step 4: Simplify right side
    591.92x = 348,584.83
  5. Step 5: Solve for x
    x = 348,584.83/591.92
  6. Step 6: Final answer
    x = 588.91

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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.