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Finding the Fourth Proportional to 400.94, 600.81 and 218.70

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Solution

The fourth proportional to 400.94, 600.81 and 218.70 is: 327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.94 : 600.81 = 218.70 : x
  2. Step 2: Convert to fraction form
    400.94/600.81 = 218.70/x
  3. Step 3: Cross multiply
    400.94x = 600.81 × 218.70
  4. Step 4: Simplify right side
    400.94x = 131,397.15
  5. Step 5: Solve for x
    x = 131,397.15/400.94
  6. Step 6: Final answer
    x = 327.72

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Why These Related Problems?

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