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Finding the Fourth Proportional to 518.24, 775.91 and 335.09

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Solution

The fourth proportional to 518.24, 775.91 and 335.09 is: 501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 775.91 = 335.09 : x
  2. Step 2: Convert to fraction form
    518.24/775.91 = 335.09/x
  3. Step 3: Cross multiply
    518.24x = 775.91 × 335.09
  4. Step 4: Simplify right side
    518.24x = 259,996.64
  5. Step 5: Solve for x
    x = 259,996.64/518.24
  6. Step 6: Final answer
    x = 501.69

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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.