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Finding the Fourth Proportional to 418.22, 576.40 and 324.68

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Solution

The fourth proportional to 418.22, 576.40 and 324.68 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.22 : 576.40 = 324.68 : x
  2. Step 2: Convert to fraction form
    418.22/576.40 = 324.68/x
  3. Step 3: Cross multiply
    418.22x = 576.40 × 324.68
  4. Step 4: Simplify right side
    418.22x = 187,145.55
  5. Step 5: Solve for x
    x = 187,145.55/418.22
  6. Step 6: Final answer
    x = 447.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.