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Finding the Fourth Proportional to 722.04, 996.46 and 411.56

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Solution

The fourth proportional to 722.04, 996.46 and 411.56 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.04 : 996.46 = 411.56 : x
  2. Step 2: Convert to fraction form
    722.04/996.46 = 411.56/x
  3. Step 3: Cross multiply
    722.04x = 996.46 × 411.56
  4. Step 4: Simplify right side
    722.04x = 410,103.08
  5. Step 5: Solve for x
    x = 410,103.08/722.04
  6. Step 6: Final answer
    x = 567.98

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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.