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Finding the Fourth Proportional to 722.27, 996.30 and 442.62

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Solution

The fourth proportional to 722.27, 996.30 and 442.62 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.27 : 996.30 = 442.62 : x
  2. Step 2: Convert to fraction form
    722.27/996.30 = 442.62/x
  3. Step 3: Cross multiply
    722.27x = 996.30 × 442.62
  4. Step 4: Simplify right side
    722.27x = 440,982.31
  5. Step 5: Solve for x
    x = 440,982.31/722.27
  6. Step 6: Final answer
    x = 610.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.