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Finding the Fourth Proportional to 644.35, 966.48 and 448.78

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Solution

The fourth proportional to 644.35, 966.48 and 448.78 is: 673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.35 : 966.48 = 448.78 : x
  2. Step 2: Convert to fraction form
    644.35/966.48 = 448.78/x
  3. Step 3: Cross multiply
    644.35x = 966.48 × 448.78
  4. Step 4: Simplify right side
    644.35x = 433,732.06
  5. Step 5: Solve for x
    x = 433,732.06/644.35
  6. Step 6: Final answer
    x = 673.14

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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.