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Finding the Fourth Proportional to 588.39, 886.92 and 539.10

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Solution

The fourth proportional to 588.39, 886.92 and 539.10 is: 812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.39 : 886.92 = 539.10 : x
  2. Step 2: Convert to fraction form
    588.39/886.92 = 539.10/x
  3. Step 3: Cross multiply
    588.39x = 886.92 × 539.10
  4. Step 4: Simplify right side
    588.39x = 478,138.57
  5. Step 5: Solve for x
    x = 478,138.57/588.39
  6. Step 6: Final answer
    x = 812.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.