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Finding the Fourth Proportional to 722.06, 996.45 and 411.50

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Solution

The fourth proportional to 722.06, 996.45 and 411.50 is: 567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.06 : 996.45 = 411.50 : x
  2. Step 2: Convert to fraction form
    722.06/996.45 = 411.50/x
  3. Step 3: Cross multiply
    722.06x = 996.45 × 411.50
  4. Step 4: Simplify right side
    722.06x = 410,039.18
  5. Step 5: Solve for x
    x = 410,039.18/722.06
  6. Step 6: Final answer
    x = 567.87

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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.