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Finding the Fourth Proportional to 609.26, 834.17 and 588.20

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Solution

The fourth proportional to 609.26, 834.17 and 588.20 is: 805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 834.17 = 588.20 : x
  2. Step 2: Convert to fraction form
    609.26/834.17 = 588.20/x
  3. Step 3: Cross multiply
    609.26x = 834.17 × 588.20
  4. Step 4: Simplify right side
    609.26x = 490,651.68
  5. Step 5: Solve for x
    x = 490,651.68/609.26
  6. Step 6: Final answer
    x = 805.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.