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Finding the Fourth Proportional to 724.56, 998.88 and 491.28

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Solution

The fourth proportional to 724.56, 998.88 and 491.28 is: 677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.56 : 998.88 = 491.28 : x
  2. Step 2: Convert to fraction form
    724.56/998.88 = 491.28/x
  3. Step 3: Cross multiply
    724.56x = 998.88 × 491.28
  4. Step 4: Simplify right side
    724.56x = 490,729.77
  5. Step 5: Solve for x
    x = 490,729.77/724.56
  6. Step 6: Final answer
    x = 677.28

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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.