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Finding the Fourth Proportional to 562.53, 843.78 and 254.17

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Solution

The fourth proportional to 562.53, 843.78 and 254.17 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.53 : 843.78 = 254.17 : x
  2. Step 2: Convert to fraction form
    562.53/843.78 = 254.17/x
  3. Step 3: Cross multiply
    562.53x = 843.78 × 254.17
  4. Step 4: Simplify right side
    562.53x = 214,460.98
  5. Step 5: Solve for x
    x = 214,460.98/562.53
  6. Step 6: Final answer
    x = 381.24

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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.