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Finding the Fourth Proportional to 408.72, 612 and 343.56

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Solution

The fourth proportional to 408.72, 612 and 343.56 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 612 = 343.56 : x
  2. Step 2: Convert to fraction form
    408.72/612 = 343.56/x
  3. Step 3: Cross multiply
    408.72x = 612 × 343.56
  4. Step 4: Simplify right side
    408.72x = 210,258.72
  5. Step 5: Solve for x
    x = 210,258.72/408.72
  6. Step 6: Final answer
    x = 514.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.