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Finding the Fourth Proportional to 644.56, 966.12 and 278.80

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Solution

The fourth proportional to 644.56, 966.12 and 278.80 is: 417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.56 : 966.12 = 278.80 : x
  2. Step 2: Convert to fraction form
    644.56/966.12 = 278.80/x
  3. Step 3: Cross multiply
    644.56x = 966.12 × 278.80
  4. Step 4: Simplify right side
    644.56x = 269,354.26
  5. Step 5: Solve for x
    x = 269,354.26/644.56
  6. Step 6: Final answer
    x = 417.89

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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.