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Finding the Fourth Proportional to 519.31, 778.77 and 245.11

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Solution

The fourth proportional to 519.31, 778.77 and 245.11 is: 367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 778.77 = 245.11 : x
  2. Step 2: Convert to fraction form
    519.31/778.77 = 245.11/x
  3. Step 3: Cross multiply
    519.31x = 778.77 × 245.11
  4. Step 4: Simplify right side
    519.31x = 190,884.31
  5. Step 5: Solve for x
    x = 190,884.31/519.31
  6. Step 6: Final answer
    x = 367.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.