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Finding the Fourth Proportional to 516.54, 775.08 and 273.09

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Solution

The fourth proportional to 516.54, 775.08 and 273.09 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 775.08 = 273.09 : x
  2. Step 2: Convert to fraction form
    516.54/775.08 = 273.09/x
  3. Step 3: Cross multiply
    516.54x = 775.08 × 273.09
  4. Step 4: Simplify right side
    516.54x = 211,666.60
  5. Step 5: Solve for x
    x = 211,666.60/516.54
  6. Step 6: Final answer
    x = 409.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.