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Finding the Fourth Proportional to 408.57, 563.73 and 261.42

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Solution

The fourth proportional to 408.57, 563.73 and 261.42 is: 360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 563.73 = 261.42 : x
  2. Step 2: Convert to fraction form
    408.57/563.73 = 261.42/x
  3. Step 3: Cross multiply
    408.57x = 563.73 × 261.42
  4. Step 4: Simplify right side
    408.57x = 147,370.30
  5. Step 5: Solve for x
    x = 147,370.30/408.57
  6. Step 6: Final answer
    x = 360.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.