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Finding the Fourth Proportional to 335.62, 462.72 and 217.38

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Solution

The fourth proportional to 335.62, 462.72 and 217.38 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.62 : 462.72 = 217.38 : x
  2. Step 2: Convert to fraction form
    335.62/462.72 = 217.38/x
  3. Step 3: Cross multiply
    335.62x = 462.72 × 217.38
  4. Step 4: Simplify right side
    335.62x = 100,586.07
  5. Step 5: Solve for x
    x = 100,586.07/335.62
  6. Step 6: Final answer
    x = 299.71

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Why These Related Problems?

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