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Finding the Fourth Proportional to 633.89, 950.85 and 217.52

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Solution

The fourth proportional to 633.89, 950.85 and 217.52 is: 326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.89 : 950.85 = 217.52 : x
  2. Step 2: Convert to fraction form
    633.89/950.85 = 217.52/x
  3. Step 3: Cross multiply
    633.89x = 950.85 × 217.52
  4. Step 4: Simplify right side
    633.89x = 206,823.05
  5. Step 5: Solve for x
    x = 206,823.05/633.89
  6. Step 6: Final answer
    x = 326.28

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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.