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Finding the Fourth Proportional to 327.82, 452.10 and 217.28

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Solution

The fourth proportional to 327.82, 452.10 and 217.28 is: 299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 452.10 = 217.28 : x
  2. Step 2: Convert to fraction form
    327.82/452.10 = 217.28/x
  3. Step 3: Cross multiply
    327.82x = 452.10 × 217.28
  4. Step 4: Simplify right side
    327.82x = 98,232.29
  5. Step 5: Solve for x
    x = 98,232.29/327.82
  6. Step 6: Final answer
    x = 299.65

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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.