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Finding the Fourth Proportional to 517.88, 775.44 and 273.89

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Solution

The fourth proportional to 517.88, 775.44 and 273.89 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 775.44 = 273.89 : x
  2. Step 2: Convert to fraction form
    517.88/775.44 = 273.89/x
  3. Step 3: Cross multiply
    517.88x = 775.44 × 273.89
  4. Step 4: Simplify right side
    517.88x = 212,387.20
  5. Step 5: Solve for x
    x = 212,387.20/517.88
  6. Step 6: Final answer
    x = 410.11

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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.