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Finding the Fourth Proportional to 408.49, 563.87 and 261.20

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Solution

The fourth proportional to 408.49, 563.87 and 261.20 is: 360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.49 : 563.87 = 261.20 : x
  2. Step 2: Convert to fraction form
    408.49/563.87 = 261.20/x
  3. Step 3: Cross multiply
    408.49x = 563.87 × 261.20
  4. Step 4: Simplify right side
    408.49x = 147,284.91
  5. Step 5: Solve for x
    x = 147,284.91/408.49
  6. Step 6: Final answer
    x = 360.56

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