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Finding the Fourth Proportional to 644.34, 966.69 and 211.53

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Solution

The fourth proportional to 644.34, 966.69 and 211.53 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.34 : 966.69 = 211.53 : x
  2. Step 2: Convert to fraction form
    644.34/966.69 = 211.53/x
  3. Step 3: Cross multiply
    644.34x = 966.69 × 211.53
  4. Step 4: Simplify right side
    644.34x = 204,483.94
  5. Step 5: Solve for x
    x = 204,483.94/644.34
  6. Step 6: Final answer
    x = 317.35

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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.