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Finding the Fourth Proportional to 517.05, 774.77 and 324.27

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Solution

The fourth proportional to 517.05, 774.77 and 324.27 is: 485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 774.77 = 324.27 : x
  2. Step 2: Convert to fraction form
    517.05/774.77 = 324.27/x
  3. Step 3: Cross multiply
    517.05x = 774.77 × 324.27
  4. Step 4: Simplify right side
    517.05x = 251,233.05
  5. Step 5: Solve for x
    x = 251,233.05/517.05
  6. Step 6: Final answer
    x = 485.90

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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.