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Finding the Fourth Proportional to 722.26, 996.72 and 411.76

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Solution

The fourth proportional to 722.26, 996.72 and 411.76 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.26 : 996.72 = 411.76 : x
  2. Step 2: Convert to fraction form
    722.26/996.72 = 411.76/x
  3. Step 3: Cross multiply
    722.26x = 996.72 × 411.76
  4. Step 4: Simplify right side
    722.26x = 410,409.43
  5. Step 5: Solve for x
    x = 410,409.43/722.26
  6. Step 6: Final answer
    x = 568.23

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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.