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Finding the Fourth Proportional to 644.46, 966.42 and 205.59

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Solution

The fourth proportional to 644.46, 966.42 and 205.59 is: 308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.46 : 966.42 = 205.59 : x
  2. Step 2: Convert to fraction form
    644.46/966.42 = 205.59/x
  3. Step 3: Cross multiply
    644.46x = 966.42 × 205.59
  4. Step 4: Simplify right side
    644.46x = 198,686.29
  5. Step 5: Solve for x
    x = 198,686.29/644.46
  6. Step 6: Final answer
    x = 308.30

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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.