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Finding the Fourth Proportional to 562.62, 845.24 and 531.54

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Solution

The fourth proportional to 562.62, 845.24 and 531.54 is: 798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.62 : 845.24 = 531.54 : x
  2. Step 2: Convert to fraction form
    562.62/845.24 = 531.54/x
  3. Step 3: Cross multiply
    562.62x = 845.24 × 531.54
  4. Step 4: Simplify right side
    562.62x = 449,278.87
  5. Step 5: Solve for x
    x = 449,278.87/562.62
  6. Step 6: Final answer
    x = 798.55

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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.