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Finding the Fourth Proportional to 576.80, 796.05 and 324.75

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Solution

The fourth proportional to 576.80, 796.05 and 324.75 is: 448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.80 : 796.05 = 324.75 : x
  2. Step 2: Convert to fraction form
    576.80/796.05 = 324.75/x
  3. Step 3: Cross multiply
    576.80x = 796.05 × 324.75
  4. Step 4: Simplify right side
    576.80x = 258,515.54
  5. Step 5: Solve for x
    x = 258,515.54/576.80
  6. Step 6: Final answer
    x = 448.19

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Why These Related Problems?

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