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Finding the Fourth Proportional to 996.44, 1,494.88 and 380.16

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Solution

The fourth proportional to 996.44, 1,494.88 and 380.16 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.44 : 1,494.88 = 380.16 : x
  2. Step 2: Convert to fraction form
    996.44/1,494.88 = 380.16/x
  3. Step 3: Cross multiply
    996.44x = 1,494.88 × 380.16
  4. Step 4: Simplify right side
    996.44x = 568,293.58
  5. Step 5: Solve for x
    x = 568,293.58/996.44
  6. Step 6: Final answer
    x = 570.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.