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Finding the Fourth Proportional to 721.98, 996.28 and 427.27

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Solution

The fourth proportional to 721.98, 996.28 and 427.27 is: 589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 996.28 = 427.27 : x
  2. Step 2: Convert to fraction form
    721.98/996.28 = 427.27/x
  3. Step 3: Cross multiply
    721.98x = 996.28 × 427.27
  4. Step 4: Simplify right side
    721.98x = 425,680.56
  5. Step 5: Solve for x
    x = 425,680.56/721.98
  6. Step 6: Final answer
    x = 589.60

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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.