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Finding the Fourth Proportional to 308.81, 463.17 and 217.23

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Solution

The fourth proportional to 308.81, 463.17 and 217.23 is: 325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.81 : 463.17 = 217.23 : x
  2. Step 2: Convert to fraction form
    308.81/463.17 = 217.23/x
  3. Step 3: Cross multiply
    308.81x = 463.17 × 217.23
  4. Step 4: Simplify right side
    308.81x = 100,614.88
  5. Step 5: Solve for x
    x = 100,614.88/308.81
  6. Step 6: Final answer
    x = 325.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.