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Finding the Fourth Proportional to 644.20, 966.30 and 211.35

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Solution

The fourth proportional to 644.20, 966.30 and 211.35 is: 317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.20 : 966.30 = 211.35 : x
  2. Step 2: Convert to fraction form
    644.20/966.30 = 211.35/x
  3. Step 3: Cross multiply
    644.20x = 966.30 × 211.35
  4. Step 4: Simplify right side
    644.20x = 204,227.51
  5. Step 5: Solve for x
    x = 204,227.51/644.20
  6. Step 6: Final answer
    x = 317.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.