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Finding the Fourth Proportional to 644.10, 889.07 and 382.11

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Solution

The fourth proportional to 644.10, 889.07 and 382.11 is: 527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.10 : 889.07 = 382.11 : x
  2. Step 2: Convert to fraction form
    644.10/889.07 = 382.11/x
  3. Step 3: Cross multiply
    644.10x = 889.07 × 382.11
  4. Step 4: Simplify right side
    644.10x = 339,722.54
  5. Step 5: Solve for x
    x = 339,722.54/644.10
  6. Step 6: Final answer
    x = 527.44

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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.