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Finding the Fourth Proportional to 327.84, 453.24 and 286.80

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Solution

The fourth proportional to 327.84, 453.24 and 286.80 is: 396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 453.24 = 286.80 : x
  2. Step 2: Convert to fraction form
    327.84/453.24 = 286.80/x
  3. Step 3: Cross multiply
    327.84x = 453.24 × 286.80
  4. Step 4: Simplify right side
    327.84x = 129,989.23
  5. Step 5: Solve for x
    x = 129,989.23/327.84
  6. Step 6: Final answer
    x = 396.50

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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.