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Finding the Fourth Proportional to 644.48, 888.96 and 447.68

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Solution

The fourth proportional to 644.48, 888.96 and 447.68 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 888.96 = 447.68 : x
  2. Step 2: Convert to fraction form
    644.48/888.96 = 447.68/x
  3. Step 3: Cross multiply
    644.48x = 888.96 × 447.68
  4. Step 4: Simplify right side
    644.48x = 397,969.61
  5. Step 5: Solve for x
    x = 397,969.61/644.48
  6. Step 6: Final answer
    x = 617.50

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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.