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Finding the Fourth Proportional to 513.82, 708.87 and 327.26

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Solution

The fourth proportional to 513.82, 708.87 and 327.26 is: 451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.82 : 708.87 = 327.26 : x
  2. Step 2: Convert to fraction form
    513.82/708.87 = 327.26/x
  3. Step 3: Cross multiply
    513.82x = 708.87 × 327.26
  4. Step 4: Simplify right side
    513.82x = 231,984.80
  5. Step 5: Solve for x
    x = 231,984.80/513.82
  6. Step 6: Final answer
    x = 451.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.