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Finding the Fourth Proportional to 588.27, 809.96 and 518.07

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Solution

The fourth proportional to 588.27, 809.96 and 518.07 is: 713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.27 : 809.96 = 518.07 : x
  2. Step 2: Convert to fraction form
    588.27/809.96 = 518.07/x
  3. Step 3: Cross multiply
    588.27x = 809.96 × 518.07
  4. Step 4: Simplify right side
    588.27x = 419,613.39
  5. Step 5: Solve for x
    x = 419,613.39/588.27
  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.