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Finding the Fourth Proportional to 644.26, 889.36 and 408.42

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Solution

The fourth proportional to 644.26, 889.36 and 408.42 is: 563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.26 : 889.36 = 408.42 : x
  2. Step 2: Convert to fraction form
    644.26/889.36 = 408.42/x
  3. Step 3: Cross multiply
    644.26x = 889.36 × 408.42
  4. Step 4: Simplify right side
    644.26x = 363,232.41
  5. Step 5: Solve for x
    x = 363,232.41/644.26
  6. Step 6: Final answer
    x = 563.80

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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.