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Finding the Fourth Proportional to 576.80, 796.05 and 328.16

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Solution

The fourth proportional to 576.80, 796.05 and 328.16 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 796.05 = 328.16 : x
  2. Step 2: Convert to fraction form
    576.80/796.05 = 328.16/x
  3. Step 3: Cross multiply
    576.80x = 796.05 × 328.16
  4. Step 4: Simplify right side
    576.80x = 261,226.56
  5. Step 5: Solve for x
    x = 261,226.56/576.80
  6. Step 6: Final answer
    x = 452.89

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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.