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Finding the Fourth Proportional to 644.16, 888.48 and 496.44

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Solution

The fourth proportional to 644.16, 888.48 and 496.44 is: 684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 888.48 = 496.44 : x
  2. Step 2: Convert to fraction form
    644.16/888.48 = 496.44/x
  3. Step 3: Cross multiply
    644.16x = 888.48 × 496.44
  4. Step 4: Simplify right side
    644.16x = 441,077.01
  5. Step 5: Solve for x
    x = 441,077.01/644.16
  6. Step 6: Final answer
    x = 684.73

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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.