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Finding the Fourth Proportional to 323.66, 447.28 and 287.66

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Solution

The fourth proportional to 323.66, 447.28 and 287.66 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.66 : 447.28 = 287.66 : x
  2. Step 2: Convert to fraction form
    323.66/447.28 = 287.66/x
  3. Step 3: Cross multiply
    323.66x = 447.28 × 287.66
  4. Step 4: Simplify right side
    323.66x = 128,661.61
  5. Step 5: Solve for x
    x = 128,661.61/323.66
  6. Step 6: Final answer
    x = 397.53

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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.