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Finding the Fourth Proportional to 263.28, 394.84 and 217.52

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Solution

The fourth proportional to 263.28, 394.84 and 217.52 is: 326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 394.84 = 217.52 : x
  2. Step 2: Convert to fraction form
    263.28/394.84 = 217.52/x
  3. Step 3: Cross multiply
    263.28x = 394.84 × 217.52
  4. Step 4: Simplify right side
    263.28x = 85,885.60
  5. Step 5: Solve for x
    x = 85,885.60/263.28
  6. Step 6: Final answer
    x = 326.21

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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.