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Finding the Fourth Proportional to 334.92, 462.42 and 218.64

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Solution

The fourth proportional to 334.92, 462.42 and 218.64 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 462.42 = 218.64 : x
  2. Step 2: Convert to fraction form
    334.92/462.42 = 218.64/x
  3. Step 3: Cross multiply
    334.92x = 462.42 × 218.64
  4. Step 4: Simplify right side
    334.92x = 101,103.51
  5. Step 5: Solve for x
    x = 101,103.51/334.92
  6. Step 6: Final answer
    x = 301.87

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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.