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Finding the Fourth Proportional to 722.16, 996.36 and 411.66

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Solution

The fourth proportional to 722.16, 996.36 and 411.66 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 996.36 = 411.66 : x
  2. Step 2: Convert to fraction form
    722.16/996.36 = 411.66/x
  3. Step 3: Cross multiply
    722.16x = 996.36 × 411.66
  4. Step 4: Simplify right side
    722.16x = 410,161.56
  5. Step 5: Solve for x
    x = 410,161.56/722.16
  6. Step 6: Final answer
    x = 567.96

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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.