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Finding the Fourth Proportional to 722.08, 996.32 and 411.52

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Solution

The fourth proportional to 722.08, 996.32 and 411.52 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.08 : 996.32 = 411.52 : x
  2. Step 2: Convert to fraction form
    722.08/996.32 = 411.52/x
  3. Step 3: Cross multiply
    722.08x = 996.32 × 411.52
  4. Step 4: Simplify right side
    722.08x = 410,005.61
  5. Step 5: Solve for x
    x = 410,005.61/722.08
  6. Step 6: Final answer
    x = 567.81

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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.