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Finding the Fourth Proportional to 644.50, 888.81 and 496.90

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Solution

The fourth proportional to 644.50, 888.81 and 496.90 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.50 : 888.81 = 496.90 : x
  2. Step 2: Convert to fraction form
    644.50/888.81 = 496.90/x
  3. Step 3: Cross multiply
    644.50x = 888.81 × 496.90
  4. Step 4: Simplify right side
    644.50x = 441,649.69
  5. Step 5: Solve for x
    x = 441,649.69/644.50
  6. Step 6: Final answer
    x = 685.26

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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.