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Finding the Fourth Proportional to 644.15, 966.23 and 278.89

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Solution

The fourth proportional to 644.15, 966.23 and 278.89 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.15 : 966.23 = 278.89 : x
  2. Step 2: Convert to fraction form
    644.15/966.23 = 278.89/x
  3. Step 3: Cross multiply
    644.15x = 966.23 × 278.89
  4. Step 4: Simplify right side
    644.15x = 269,474.56
  5. Step 5: Solve for x
    x = 269,474.56/644.15
  6. Step 6: Final answer
    x = 418.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.