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Finding the Fourth Proportional to 374.12, 516.20 and 281.09

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Solution

The fourth proportional to 374.12, 516.20 and 281.09 is: 387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.12 : 516.20 = 281.09 : x
  2. Step 2: Convert to fraction form
    374.12/516.20 = 281.09/x
  3. Step 3: Cross multiply
    374.12x = 516.20 × 281.09
  4. Step 4: Simplify right side
    374.12x = 145,095.64
  5. Step 5: Solve for x
    x = 145,095.64/374.12
  6. Step 6: Final answer
    x = 387.83

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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.