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Finding the Fourth Proportional to 721.09, 994.96 and 426.41

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Solution

The fourth proportional to 721.09, 994.96 and 426.41 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.09 : 994.96 = 426.41 : x
  2. Step 2: Convert to fraction form
    721.09/994.96 = 426.41/x
  3. Step 3: Cross multiply
    721.09x = 994.96 × 426.41
  4. Step 4: Simplify right side
    721.09x = 424,255.92
  5. Step 5: Solve for x
    x = 424,255.92/721.09
  6. Step 6: Final answer
    x = 588.35

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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.