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Finding the Fourth Proportional to 644.49, 889.60 and 378.92

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Solution

The fourth proportional to 644.49, 889.60 and 378.92 is: 523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.49 : 889.60 = 378.92 : x
  2. Step 2: Convert to fraction form
    644.49/889.60 = 378.92/x
  3. Step 3: Cross multiply
    644.49x = 889.60 × 378.92
  4. Step 4: Simplify right side
    644.49x = 337,084.39
  5. Step 5: Solve for x
    x = 337,084.39/644.49
  6. Step 6: Final answer
    x = 523.03

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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.