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Finding the Fourth Proportional to 588.80, 814.09 and 515.90

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Solution

The fourth proportional to 588.80, 814.09 and 515.90 is: 713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 814.09 = 515.90 : x
  2. Step 2: Convert to fraction form
    588.80/814.09 = 515.90/x
  3. Step 3: Cross multiply
    588.80x = 814.09 × 515.90
  4. Step 4: Simplify right side
    588.80x = 419,989.03
  5. Step 5: Solve for x
    x = 419,989.03/588.80
  6. Step 6: Final answer
    x = 713.30

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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.