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Finding the Fourth Proportional to 408.22, 563.28 and 233.54

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Solution

The fourth proportional to 408.22, 563.28 and 233.54 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.22 : 563.28 = 233.54 : x
  2. Step 2: Convert to fraction form
    408.22/563.28 = 233.54/x
  3. Step 3: Cross multiply
    408.22x = 563.28 × 233.54
  4. Step 4: Simplify right side
    408.22x = 131,548.41
  5. Step 5: Solve for x
    x = 131,548.41/408.22
  6. Step 6: Final answer
    x = 322.25

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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.