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Finding the Fourth Proportional to 644.46, 889.36 and 349.73

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Solution

The fourth proportional to 644.46, 889.36 and 349.73 is: 482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.46 : 889.36 = 349.73 : x
  2. Step 2: Convert to fraction form
    644.46/889.36 = 349.73/x
  3. Step 3: Cross multiply
    644.46x = 889.36 × 349.73
  4. Step 4: Simplify right side
    644.46x = 311,037.22
  5. Step 5: Solve for x
    x = 311,037.22/644.46
  6. Step 6: Final answer
    x = 482.63

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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.