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Finding the Fourth Proportional to 516.38, 774.77 and 273.06

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Solution

The fourth proportional to 516.38, 774.77 and 273.06 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 774.77 = 273.06 : x
  2. Step 2: Convert to fraction form
    516.38/774.77 = 273.06/x
  3. Step 3: Cross multiply
    516.38x = 774.77 × 273.06
  4. Step 4: Simplify right side
    516.38x = 211,557.33
  5. Step 5: Solve for x
    x = 211,557.33/516.38
  6. Step 6: Final answer
    x = 409.70

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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.