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Finding the Fourth Proportional to 644.92, 889.86 and 408.96

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Solution

The fourth proportional to 644.92, 889.86 and 408.96 is: 564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.92 : 889.86 = 408.96 : x
  2. Step 2: Convert to fraction form
    644.92/889.86 = 408.96/x
  3. Step 3: Cross multiply
    644.92x = 889.86 × 408.96
  4. Step 4: Simplify right side
    644.92x = 363,917.15
  5. Step 5: Solve for x
    x = 363,917.15/644.92
  6. Step 6: Final answer
    x = 564.28

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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.