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Finding the Fourth Proportional to 644.33, 889.17 and 364.48

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Solution

The fourth proportional to 644.33, 889.17 and 364.48 is: 502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.33 : 889.17 = 364.48 : x
  2. Step 2: Convert to fraction form
    644.33/889.17 = 364.48/x
  3. Step 3: Cross multiply
    644.33x = 889.17 × 364.48
  4. Step 4: Simplify right side
    644.33x = 324,084.68
  5. Step 5: Solve for x
    x = 324,084.68/644.33
  6. Step 6: Final answer
    x = 502.98

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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.