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Finding the Fourth Proportional to 322.28, 444.90 and 217.50

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Solution

The fourth proportional to 322.28, 444.90 and 217.50 is: 300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.28 : 444.90 = 217.50 : x
  2. Step 2: Convert to fraction form
    322.28/444.90 = 217.50/x
  3. Step 3: Cross multiply
    322.28x = 444.90 × 217.50
  4. Step 4: Simplify right side
    322.28x = 96,765.75
  5. Step 5: Solve for x
    x = 96,765.75/322.28
  6. Step 6: Final answer
    x = 300.25

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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.