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Finding the Fourth Proportional to 408.17, 563.12 and 268.35

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Solution

The fourth proportional to 408.17, 563.12 and 268.35 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.17 : 563.12 = 268.35 : x
  2. Step 2: Convert to fraction form
    408.17/563.12 = 268.35/x
  3. Step 3: Cross multiply
    408.17x = 563.12 × 268.35
  4. Step 4: Simplify right side
    408.17x = 151,111.91
  5. Step 5: Solve for x
    x = 151,111.91/408.17
  6. Step 6: Final answer
    x = 370.22

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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.