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Finding the Fourth Proportional to 644.25, 966.49 and 205.60

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Solution

The fourth proportional to 644.25, 966.49 and 205.60 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.25 : 966.49 = 205.60 : x
  2. Step 2: Convert to fraction form
    644.25/966.49 = 205.60/x
  3. Step 3: Cross multiply
    644.25x = 966.49 × 205.60
  4. Step 4: Simplify right side
    644.25x = 198,705.60
  5. Step 5: Solve for x
    x = 198,705.60/644.25
  6. Step 6: Final answer
    x = 308.43

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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.