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Finding the Fourth Proportional to 513.75, 708.69 and 327.11

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Solution

The fourth proportional to 513.75, 708.69 and 327.11 is: 451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 708.69 = 327.11 : x
  2. Step 2: Convert to fraction form
    513.75/708.69 = 327.11/x
  3. Step 3: Cross multiply
    513.75x = 708.69 × 327.11
  4. Step 4: Simplify right side
    513.75x = 231,816.04
  5. Step 5: Solve for x
    x = 231,816.04/513.75
  6. Step 6: Final answer
    x = 451.22

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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.