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Finding the Fourth Proportional to 401.38, 600.84 and 218.22

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Solution

The fourth proportional to 401.38, 600.84 and 218.22 is: 326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.38 : 600.84 = 218.22 : x
  2. Step 2: Convert to fraction form
    401.38/600.84 = 218.22/x
  3. Step 3: Cross multiply
    401.38x = 600.84 × 218.22
  4. Step 4: Simplify right side
    401.38x = 131,115.30
  5. Step 5: Solve for x
    x = 131,115.30/401.38
  6. Step 6: Final answer
    x = 326.66

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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.