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Finding the Fourth Proportional to 374.57, 516.94 and 208.78

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Solution

The fourth proportional to 374.57, 516.94 and 208.78 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.57 : 516.94 = 208.78 : x
  2. Step 2: Convert to fraction form
    374.57/516.94 = 208.78/x
  3. Step 3: Cross multiply
    374.57x = 516.94 × 208.78
  4. Step 4: Simplify right side
    374.57x = 107,926.04
  5. Step 5: Solve for x
    x = 107,926.04/374.57
  6. Step 6: Final answer
    x = 288.13

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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.