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Finding the Fourth Proportional to 418.20, 576.96 and 241.14

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Solution

The fourth proportional to 418.20, 576.96 and 241.14 is: 332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 576.96 = 241.14 : x
  2. Step 2: Convert to fraction form
    418.20/576.96 = 241.14/x
  3. Step 3: Cross multiply
    418.20x = 576.96 × 241.14
  4. Step 4: Simplify right side
    418.20x = 139,128.13
  5. Step 5: Solve for x
    x = 139,128.13/418.20
  6. Step 6: Final answer
    x = 332.68

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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.