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Finding the Fourth Proportional to 408.71, 563.75 and 261.53

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Solution

The fourth proportional to 408.71, 563.75 and 261.53 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 563.75 = 261.53 : x
  2. Step 2: Convert to fraction form
    408.71/563.75 = 261.53/x
  3. Step 3: Cross multiply
    408.71x = 563.75 × 261.53
  4. Step 4: Simplify right side
    408.71x = 147,433.41
  5. Step 5: Solve for x
    x = 147,433.41/408.71
  6. Step 6: Final answer
    x = 360.73

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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.