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Finding the Fourth Proportional to 322.71, 445.23 and 217.91

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Solution

The fourth proportional to 322.71, 445.23 and 217.91 is: 300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.71 : 445.23 = 217.91 : x
  2. Step 2: Convert to fraction form
    322.71/445.23 = 217.91/x
  3. Step 3: Cross multiply
    322.71x = 445.23 × 217.91
  4. Step 4: Simplify right side
    322.71x = 97,022.00
  5. Step 5: Solve for x
    x = 97,022.00/322.71
  6. Step 6: Final answer
    x = 300.65

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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.