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Finding the Fourth Proportional to 562.49, 843.12 and 254.02

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Solution

The fourth proportional to 562.49, 843.12 and 254.02 is: 380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.49 : 843.12 = 254.02 : x
  2. Step 2: Convert to fraction form
    562.49/843.12 = 254.02/x
  3. Step 3: Cross multiply
    562.49x = 843.12 × 254.02
  4. Step 4: Simplify right side
    562.49x = 214,169.34
  5. Step 5: Solve for x
    x = 214,169.34/562.49
  6. Step 6: Final answer
    x = 380.75

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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.