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Finding the Fourth Proportional to 516.68, 775.38 and 273.26

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Solution

The fourth proportional to 516.68, 775.38 and 273.26 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 775.38 = 273.26 : x
  2. Step 2: Convert to fraction form
    516.68/775.38 = 273.26/x
  3. Step 3: Cross multiply
    516.68x = 775.38 × 273.26
  4. Step 4: Simplify right side
    516.68x = 211,880.34
  5. Step 5: Solve for x
    x = 211,880.34/516.68
  6. Step 6: Final answer
    x = 410.08

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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.