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Finding the Fourth Proportional to 408.96, 563.98 and 261.64

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Solution

The fourth proportional to 408.96, 563.98 and 261.64 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 563.98 = 261.64 : x
  2. Step 2: Convert to fraction form
    408.96/563.98 = 261.64/x
  3. Step 3: Cross multiply
    408.96x = 563.98 × 261.64
  4. Step 4: Simplify right side
    408.96x = 147,559.73
  5. Step 5: Solve for x
    x = 147,559.73/408.96
  6. Step 6: Final answer
    x = 360.82

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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.