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Finding the Fourth Proportional to 408.65, 563.78 and 266.90

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Solution

The fourth proportional to 408.65, 563.78 and 266.90 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 563.78 = 266.90 : x
  2. Step 2: Convert to fraction form
    408.65/563.78 = 266.90/x
  3. Step 3: Cross multiply
    408.65x = 563.78 × 266.90
  4. Step 4: Simplify right side
    408.65x = 150,470.73
  5. Step 5: Solve for x
    x = 150,470.73/408.65
  6. Step 6: Final answer
    x = 368.22

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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.