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Finding the Fourth Proportional to 408.40, 612.81 and 202.97

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Solution

The fourth proportional to 408.40, 612.81 and 202.97 is: 304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.40 : 612.81 = 202.97 : x
  2. Step 2: Convert to fraction form
    408.40/612.81 = 202.97/x
  3. Step 3: Cross multiply
    408.40x = 612.81 × 202.97
  4. Step 4: Simplify right side
    408.40x = 124,378.98
  5. Step 5: Solve for x
    x = 124,378.98/408.40
  6. Step 6: Final answer
    x = 304.55

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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.