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Finding the Fourth Proportional to 721.95, 996.36 and 442.37

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Solution

The fourth proportional to 721.95, 996.36 and 442.37 is: 610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.95 : 996.36 = 442.37 : x
  2. Step 2: Convert to fraction form
    721.95/996.36 = 442.37/x
  3. Step 3: Cross multiply
    721.95x = 996.36 × 442.37
  4. Step 4: Simplify right side
    721.95x = 440,760.19
  5. Step 5: Solve for x
    x = 440,760.19/721.95
  6. Step 6: Final answer
    x = 610.52

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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.