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Finding the Fourth Proportional to 323.22, 445.77 and 287.82

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Solution

The fourth proportional to 323.22, 445.77 and 287.82 is: 396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.22 : 445.77 = 287.82 : x
  2. Step 2: Convert to fraction form
    323.22/445.77 = 287.82/x
  3. Step 3: Cross multiply
    323.22x = 445.77 × 287.82
  4. Step 4: Simplify right side
    323.22x = 128,301.52
  5. Step 5: Solve for x
    x = 128,301.52/323.22
  6. Step 6: Final answer
    x = 396.95

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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.