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Finding the Fourth Proportional to 644.28, 889.14 and 496.68

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Solution

The fourth proportional to 644.28, 889.14 and 496.68 is: 685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.28 : 889.14 = 496.68 : x
  2. Step 2: Convert to fraction form
    644.28/889.14 = 496.68/x
  3. Step 3: Cross multiply
    644.28x = 889.14 × 496.68
  4. Step 4: Simplify right side
    644.28x = 441,618.06
  5. Step 5: Solve for x
    x = 441,618.06/644.28
  6. Step 6: Final answer
    x = 685.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.