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Finding the Fourth Proportional to 408.63, 563.68 and 261.10

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Solution

The fourth proportional to 408.63, 563.68 and 261.10 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.63 : 563.68 = 261.10 : x
  2. Step 2: Convert to fraction form
    408.63/563.68 = 261.10/x
  3. Step 3: Cross multiply
    408.63x = 563.68 × 261.10
  4. Step 4: Simplify right side
    408.63x = 147,176.85
  5. Step 5: Solve for x
    x = 147,176.85/408.63
  6. Step 6: Final answer
    x = 360.17

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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.