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Finding the Fourth Proportional to 722.10, 996.30 and 459.90

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Solution

The fourth proportional to 722.10, 996.30 and 459.90 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.10 : 996.30 = 459.90 : x
  2. Step 2: Convert to fraction form
    722.10/996.30 = 459.90/x
  3. Step 3: Cross multiply
    722.10x = 996.30 × 459.90
  4. Step 4: Simplify right side
    722.10x = 458,198.37
  5. Step 5: Solve for x
    x = 458,198.37/722.10
  6. Step 6: Final answer
    x = 634.54

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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.