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Finding the Fourth Proportional to 516.38, 774.99 and 272.97

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Solution

The fourth proportional to 516.38, 774.99 and 272.97 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 774.99 = 272.97 : x
  2. Step 2: Convert to fraction form
    516.38/774.99 = 272.97/x
  3. Step 3: Cross multiply
    516.38x = 774.99 × 272.97
  4. Step 4: Simplify right side
    516.38x = 211,549.02
  5. Step 5: Solve for x
    x = 211,549.02/516.38
  6. Step 6: Final answer
    x = 409.68

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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.