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Finding the Fourth Proportional to 516.55, 775.41 and 273.01

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Solution

The fourth proportional to 516.55, 775.41 and 273.01 is: 409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.55 : 775.41 = 273.01 : x
  2. Step 2: Convert to fraction form
    516.55/775.41 = 273.01/x
  3. Step 3: Cross multiply
    516.55x = 775.41 × 273.01
  4. Step 4: Simplify right side
    516.55x = 211,694.68
  5. Step 5: Solve for x
    x = 211,694.68/516.55
  6. Step 6: Final answer
    x = 409.82

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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.