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Finding the Fourth Proportional to 644.06, 965.46 and 278.78

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Solution

The fourth proportional to 644.06, 965.46 and 278.78 is: 417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 965.46 = 278.78 : x
  2. Step 2: Convert to fraction form
    644.06/965.46 = 278.78/x
  3. Step 3: Cross multiply
    644.06x = 965.46 × 278.78
  4. Step 4: Simplify right side
    644.06x = 269,150.94
  5. Step 5: Solve for x
    x = 269,150.94/644.06
  6. Step 6: Final answer
    x = 417.90

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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.