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Finding the Fourth Proportional to 408.14, 612.21 and 293.56

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Solution

The fourth proportional to 408.14, 612.21 and 293.56 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 612.21 = 293.56 : x
  2. Step 2: Convert to fraction form
    408.14/612.21 = 293.56/x
  3. Step 3: Cross multiply
    408.14x = 612.21 × 293.56
  4. Step 4: Simplify right side
    408.14x = 179,717.31
  5. Step 5: Solve for x
    x = 179,717.31/408.14
  6. Step 6: Final answer
    x = 440.33

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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.