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Finding the Fourth Proportional to 374.44, 516.86 and 219.19

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Solution

The fourth proportional to 374.44, 516.86 and 219.19 is: 302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.44 : 516.86 = 219.19 : x
  2. Step 2: Convert to fraction form
    374.44/516.86 = 219.19/x
  3. Step 3: Cross multiply
    374.44x = 516.86 × 219.19
  4. Step 4: Simplify right side
    374.44x = 113,288.98
  5. Step 5: Solve for x
    x = 113,288.98/374.44
  6. Step 6: Final answer
    x = 302.56

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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.