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Finding the Fourth Proportional to 400.33, 600.27 and 217.56

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Solution

The fourth proportional to 400.33, 600.27 and 217.56 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.33 : 600.27 = 217.56 : x
  2. Step 2: Convert to fraction form
    400.33/600.27 = 217.56/x
  3. Step 3: Cross multiply
    400.33x = 600.27 × 217.56
  4. Step 4: Simplify right side
    400.33x = 130,594.74
  5. Step 5: Solve for x
    x = 130,594.74/400.33
  6. Step 6: Final answer
    x = 326.22

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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.