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Finding the Fourth Proportional to 644.66, 966.70 and 205.77

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Solution

The fourth proportional to 644.66, 966.70 and 205.77 is: 308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.66 : 966.70 = 205.77 : x
  2. Step 2: Convert to fraction form
    644.66/966.70 = 205.77/x
  3. Step 3: Cross multiply
    644.66x = 966.70 × 205.77
  4. Step 4: Simplify right side
    644.66x = 198,921.74
  5. Step 5: Solve for x
    x = 198,921.74/644.66
  6. Step 6: Final answer
    x = 308.57

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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.