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Finding the Fourth Proportional to 562.17, 843.25 and 496.56

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Solution

The fourth proportional to 562.17, 843.25 and 496.56 is: 744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.17 : 843.25 = 496.56 : x
  2. Step 2: Convert to fraction form
    562.17/843.25 = 496.56/x
  3. Step 3: Cross multiply
    562.17x = 843.25 × 496.56
  4. Step 4: Simplify right side
    562.17x = 418,719.26
  5. Step 5: Solve for x
    x = 418,719.26/562.17
  6. Step 6: Final answer
    x = 744.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.