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Finding the Fourth Proportional to 644.76, 966.92 and 211.82

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Solution

The fourth proportional to 644.76, 966.92 and 211.82 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 966.92 = 211.82 : x
  2. Step 2: Convert to fraction form
    644.76/966.92 = 211.82/x
  3. Step 3: Cross multiply
    644.76x = 966.92 × 211.82
  4. Step 4: Simplify right side
    644.76x = 204,812.99
  5. Step 5: Solve for x
    x = 204,812.99/644.76
  6. Step 6: Final answer
    x = 317.66

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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.