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Finding the Fourth Proportional to 721.87, 996.23 and 427.23

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Solution

The fourth proportional to 721.87, 996.23 and 427.23 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.87 : 996.23 = 427.23 : x
  2. Step 2: Convert to fraction form
    721.87/996.23 = 427.23/x
  3. Step 3: Cross multiply
    721.87x = 996.23 × 427.23
  4. Step 4: Simplify right side
    721.87x = 425,620.41
  5. Step 5: Solve for x
    x = 425,620.41/721.87
  6. Step 6: Final answer
    x = 589.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.