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Finding the Fourth Proportional to 996.58, 1,494.68 and 380.15

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Solution

The fourth proportional to 996.58, 1,494.68 and 380.15 is: 570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.58 : 1,494.68 = 380.15 : x
  2. Step 2: Convert to fraction form
    996.58/1,494.68 = 380.15/x
  3. Step 3: Cross multiply
    996.58x = 1,494.68 × 380.15
  4. Step 4: Simplify right side
    996.58x = 568,195.13
  5. Step 5: Solve for x
    x = 568,195.13/996.58
  6. Step 6: Final answer
    x = 570.15

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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.