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Finding the Fourth Proportional to 644.06, 966.36 and 449.30

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Solution

The fourth proportional to 644.06, 966.36 and 449.30 is: 674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 966.36 = 449.30 : x
  2. Step 2: Convert to fraction form
    644.06/966.36 = 449.30/x
  3. Step 3: Cross multiply
    644.06x = 966.36 × 449.30
  4. Step 4: Simplify right side
    644.06x = 434,185.55
  5. Step 5: Solve for x
    x = 434,185.55/644.06
  6. Step 6: Final answer
    x = 674.14

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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.