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Finding the Fourth Proportional to 408.02, 563.02 and 268.18

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Solution

The fourth proportional to 408.02, 563.02 and 268.18 is: 370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.02 : 563.02 = 268.18 : x
  2. Step 2: Convert to fraction form
    408.02/563.02 = 268.18/x
  3. Step 3: Cross multiply
    408.02x = 563.02 × 268.18
  4. Step 4: Simplify right side
    408.02x = 150,990.70
  5. Step 5: Solve for x
    x = 150,990.70/408.02
  6. Step 6: Final answer
    x = 370.06

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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.