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Finding the Fourth Proportional to 644.29, 966.07 and 205.46

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Solution

The fourth proportional to 644.29, 966.07 and 205.46 is: 308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.29 : 966.07 = 205.46 : x
  2. Step 2: Convert to fraction form
    644.29/966.07 = 205.46/x
  3. Step 3: Cross multiply
    644.29x = 966.07 × 205.46
  4. Step 4: Simplify right side
    644.29x = 198,488.74
  5. Step 5: Solve for x
    x = 198,488.74/644.29
  6. Step 6: Final answer
    x = 308.07

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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.