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Finding the Fourth Proportional to 644.38, 889.50 and 378.94

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Solution

The fourth proportional to 644.38, 889.50 and 378.94 is: 523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.38 : 889.50 = 378.94 : x
  2. Step 2: Convert to fraction form
    644.38/889.50 = 378.94/x
  3. Step 3: Cross multiply
    644.38x = 889.50 × 378.94
  4. Step 4: Simplify right side
    644.38x = 337,067.13
  5. Step 5: Solve for x
    x = 337,067.13/644.38
  6. Step 6: Final answer
    x = 523.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.