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Finding the Fourth Proportional to 576.75, 796.01 and 328.09

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Solution

The fourth proportional to 576.75, 796.01 and 328.09 is: 452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.75 : 796.01 = 328.09 : x
  2. Step 2: Convert to fraction form
    576.75/796.01 = 328.09/x
  3. Step 3: Cross multiply
    576.75x = 796.01 × 328.09
  4. Step 4: Simplify right side
    576.75x = 261,161.28
  5. Step 5: Solve for x
    x = 261,161.28/576.75
  6. Step 6: Final answer
    x = 452.82

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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.