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Finding the Fourth Proportional to 517.24, 775.78 and 311.84

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Solution

The fourth proportional to 517.24, 775.78 and 311.84 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 775.78 = 311.84 : x
  2. Step 2: Convert to fraction form
    517.24/775.78 = 311.84/x
  3. Step 3: Cross multiply
    517.24x = 775.78 × 311.84
  4. Step 4: Simplify right side
    517.24x = 241,919.24
  5. Step 5: Solve for x
    x = 241,919.24/517.24
  6. Step 6: Final answer
    x = 467.71

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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.