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Finding the Fourth Proportional to 383.44, 574.56 and 209.96

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Solution

The fourth proportional to 383.44, 574.56 and 209.96 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.44 : 574.56 = 209.96 : x
  2. Step 2: Convert to fraction form
    383.44/574.56 = 209.96/x
  3. Step 3: Cross multiply
    383.44x = 574.56 × 209.96
  4. Step 4: Simplify right side
    383.44x = 120,634.62
  5. Step 5: Solve for x
    x = 120,634.62/383.44
  6. Step 6: Final answer
    x = 314.61

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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.