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Finding the Fourth Proportional to 644.34, 966.12 and 449.40

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Solution

The fourth proportional to 644.34, 966.12 and 449.40 is: 673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.34 : 966.12 = 449.40 : x
  2. Step 2: Convert to fraction form
    644.34/966.12 = 449.40/x
  3. Step 3: Cross multiply
    644.34x = 966.12 × 449.40
  4. Step 4: Simplify right side
    644.34x = 434,174.33
  5. Step 5: Solve for x
    x = 434,174.33/644.34
  6. Step 6: Final answer
    x = 673.83

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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.