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Finding the Fourth Proportional to 576.36, 795.41 and 327.71

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Solution

The fourth proportional to 576.36, 795.41 and 327.71 is: 452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.36 : 795.41 = 327.71 : x
  2. Step 2: Convert to fraction form
    576.36/795.41 = 327.71/x
  3. Step 3: Cross multiply
    576.36x = 795.41 × 327.71
  4. Step 4: Simplify right side
    576.36x = 260,658.20
  5. Step 5: Solve for x
    x = 260,658.20/576.36
  6. Step 6: Final answer
    x = 452.25

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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.