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Finding the Fourth Proportional to 563.49, 844.68 and 255.42

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Solution

The fourth proportional to 563.49, 844.68 and 255.42 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 844.68 = 255.42 : x
  2. Step 2: Convert to fraction form
    563.49/844.68 = 255.42/x
  3. Step 3: Cross multiply
    563.49x = 844.68 × 255.42
  4. Step 4: Simplify right side
    563.49x = 215,748.17
  5. Step 5: Solve for x
    x = 215,748.17/563.49
  6. Step 6: Final answer
    x = 382.88

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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.