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Finding the Fourth Proportional to 644.80, 889.49 and 408.35

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Solution

The fourth proportional to 644.80, 889.49 and 408.35 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 889.49 = 408.35 : x
  2. Step 2: Convert to fraction form
    644.80/889.49 = 408.35/x
  3. Step 3: Cross multiply
    644.80x = 889.49 × 408.35
  4. Step 4: Simplify right side
    644.80x = 363,223.24
  5. Step 5: Solve for x
    x = 363,223.24/644.80
  6. Step 6: Final answer
    x = 563.31

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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.