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Finding the Fourth Proportional to 408.30, 563.54 and 268.44

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Solution

The fourth proportional to 408.30, 563.54 and 268.44 is: 370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.30 : 563.54 = 268.44 : x
  2. Step 2: Convert to fraction form
    408.30/563.54 = 268.44/x
  3. Step 3: Cross multiply
    408.30x = 563.54 × 268.44
  4. Step 4: Simplify right side
    408.30x = 151,275.34
  5. Step 5: Solve for x
    x = 151,275.34/408.30
  6. Step 6: Final answer
    x = 370.50

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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.