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Finding the Fourth Proportional to 644.27, 966.42 and 205.52

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Solution

The fourth proportional to 644.27, 966.42 and 205.52 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.27 : 966.42 = 205.52 : x
  2. Step 2: Convert to fraction form
    644.27/966.42 = 205.52/x
  3. Step 3: Cross multiply
    644.27x = 966.42 × 205.52
  4. Step 4: Simplify right side
    644.27x = 198,618.64
  5. Step 5: Solve for x
    x = 198,618.64/644.27
  6. Step 6: Final answer
    x = 308.28

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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.