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Finding the Fourth Proportional to 517.92, 778.34 and 274.64

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Solution

The fourth proportional to 517.92, 778.34 and 274.64 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 778.34 = 274.64 : x
  2. Step 2: Convert to fraction form
    517.92/778.34 = 274.64/x
  3. Step 3: Cross multiply
    517.92x = 778.34 × 274.64
  4. Step 4: Simplify right side
    517.92x = 213,763.30
  5. Step 5: Solve for x
    x = 213,763.30/517.92
  6. Step 6: Final answer
    x = 412.73

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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.