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Finding the Fourth Proportional to 563.42, 843.90 and 274.25

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Solution

The fourth proportional to 563.42, 843.90 and 274.25 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.42 : 843.90 = 274.25 : x
  2. Step 2: Convert to fraction form
    563.42/843.90 = 274.25/x
  3. Step 3: Cross multiply
    563.42x = 843.90 × 274.25
  4. Step 4: Simplify right side
    563.42x = 231,439.58
  5. Step 5: Solve for x
    x = 231,439.58/563.42
  6. Step 6: Final answer
    x = 410.78

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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.