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Finding the Fourth Proportional to 722.23, 996.76 and 423.60

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Solution

The fourth proportional to 722.23, 996.76 and 423.60 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.23 : 996.76 = 423.60 : x
  2. Step 2: Convert to fraction form
    722.23/996.76 = 423.60/x
  3. Step 3: Cross multiply
    722.23x = 996.76 × 423.60
  4. Step 4: Simplify right side
    722.23x = 422,221.94
  5. Step 5: Solve for x
    x = 422,221.94/722.23
  6. Step 6: Final answer
    x = 584.61

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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.