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Finding the Fourth Proportional to 588.68, 810.52 and 499.97

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Solution

The fourth proportional to 588.68, 810.52 and 499.97 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.68 : 810.52 = 499.97 : x
  2. Step 2: Convert to fraction form
    588.68/810.52 = 499.97/x
  3. Step 3: Cross multiply
    588.68x = 810.52 × 499.97
  4. Step 4: Simplify right side
    588.68x = 405,235.30
  5. Step 5: Solve for x
    x = 405,235.30/588.68
  6. Step 6: Final answer
    x = 688.39

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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.