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Finding the Fourth Proportional to 588.20, 810.92 and 506.18

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Solution

The fourth proportional to 588.20, 810.92 and 506.18 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.20 : 810.92 = 506.18 : x
  2. Step 2: Convert to fraction form
    588.20/810.92 = 506.18/x
  3. Step 3: Cross multiply
    588.20x = 810.92 × 506.18
  4. Step 4: Simplify right side
    588.20x = 410,474.78
  5. Step 5: Solve for x
    x = 410,474.78/588.20
  6. Step 6: Final answer
    x = 697.85

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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.