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Finding the Fourth Proportional to 644.22, 889.11 and 408.29

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Solution

The fourth proportional to 644.22, 889.11 and 408.29 is: 563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.22 : 889.11 = 408.29 : x
  2. Step 2: Convert to fraction form
    644.22/889.11 = 408.29/x
  3. Step 3: Cross multiply
    644.22x = 889.11 × 408.29
  4. Step 4: Simplify right side
    644.22x = 363,010.28
  5. Step 5: Solve for x
    x = 363,010.28/644.22
  6. Step 6: Final answer
    x = 563.49

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