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Finding the Fourth Proportional to 335.26, 462.55 and 217.33

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Solution

The fourth proportional to 335.26, 462.55 and 217.33 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.26 : 462.55 = 217.33 : x
  2. Step 2: Convert to fraction form
    335.26/462.55 = 217.33/x
  3. Step 3: Cross multiply
    335.26x = 462.55 × 217.33
  4. Step 4: Simplify right side
    335.26x = 100,523.95
  5. Step 5: Solve for x
    x = 100,523.95/335.26
  6. Step 6: Final answer
    x = 299.84

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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.