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Finding the Fourth Proportional to 518.01, 775.68 and 273.99

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Solution

The fourth proportional to 518.01, 775.68 and 273.99 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 775.68 = 273.99 : x
  2. Step 2: Convert to fraction form
    518.01/775.68 = 273.99/x
  3. Step 3: Cross multiply
    518.01x = 775.68 × 273.99
  4. Step 4: Simplify right side
    518.01x = 212,528.56
  5. Step 5: Solve for x
    x = 212,528.56/518.01
  6. Step 6: Final answer
    x = 410.28

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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.