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Finding the Fourth Proportional to 408.52, 563.95 and 261.36

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Solution

The fourth proportional to 408.52, 563.95 and 261.36 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 563.95 = 261.36 : x
  2. Step 2: Convert to fraction form
    408.52/563.95 = 261.36/x
  3. Step 3: Cross multiply
    408.52x = 563.95 × 261.36
  4. Step 4: Simplify right side
    408.52x = 147,389.85
  5. Step 5: Solve for x
    x = 147,389.85/408.52
  6. Step 6: Final answer
    x = 360.79

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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.