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Finding the Fourth Proportional to 335.31, 462.58 and 217.33

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Solution

The fourth proportional to 335.31, 462.58 and 217.33 is: 299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 462.58 = 217.33 : x
  2. Step 2: Convert to fraction form
    335.31/462.58 = 217.33/x
  3. Step 3: Cross multiply
    335.31x = 462.58 × 217.33
  4. Step 4: Simplify right side
    335.31x = 100,530.81
  5. Step 5: Solve for x
    x = 100,530.81/335.31
  6. Step 6: Final answer
    x = 299.81

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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.