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Finding the Fourth Proportional to 644.22, 889.00 and 364.46

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Solution

The fourth proportional to 644.22, 889.00 and 364.46 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.22 : 889.00 = 364.46 : x
  2. Step 2: Convert to fraction form
    644.22/889.00 = 364.46/x
  3. Step 3: Cross multiply
    644.22x = 889.00 × 364.46
  4. Step 4: Simplify right side
    644.22x = 324,006.86
  5. Step 5: Solve for x
    x = 324,006.86/644.22
  6. Step 6: Final answer
    x = 502.95

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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.