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Finding the Fourth Proportional to 576.62, 795.80 and 327.97

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Solution

The fourth proportional to 576.62, 795.80 and 327.97 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.62 : 795.80 = 327.97 : x
  2. Step 2: Convert to fraction form
    576.62/795.80 = 327.97/x
  3. Step 3: Cross multiply
    576.62x = 795.80 × 327.97
  4. Step 4: Simplify right side
    576.62x = 261,001.66
  5. Step 5: Solve for x
    x = 261,001.66/576.62
  6. Step 6: Final answer
    x = 452.64

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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.