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Finding the Fourth Proportional to 722.12, 996.57 and 423.43

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Solution

The fourth proportional to 722.12, 996.57 and 423.43 is: 584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 996.57 = 423.43 : x
  2. Step 2: Convert to fraction form
    722.12/996.57 = 423.43/x
  3. Step 3: Cross multiply
    722.12x = 996.57 × 423.43
  4. Step 4: Simplify right side
    722.12x = 421,975.14
  5. Step 5: Solve for x
    x = 421,975.14/722.12
  6. Step 6: Final answer
    x = 584.36

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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.