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Finding the Fourth Proportional to 644.80, 889.82 and 361.22

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Solution

The fourth proportional to 644.80, 889.82 and 361.22 is: 498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 889.82 = 361.22 : x
  2. Step 2: Convert to fraction form
    644.80/889.82 = 361.22/x
  3. Step 3: Cross multiply
    644.80x = 889.82 × 361.22
  4. Step 4: Simplify right side
    644.80x = 321,420.91
  5. Step 5: Solve for x
    x = 321,420.91/644.80
  6. Step 6: Final answer
    x = 498.48

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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.