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Finding the Fourth Proportional to 283.28, 424.46 and 272.62

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Solution

The fourth proportional to 283.28, 424.46 and 272.62 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.28 : 424.46 = 272.62 : x
  2. Step 2: Convert to fraction form
    283.28/424.46 = 272.62/x
  3. Step 3: Cross multiply
    283.28x = 424.46 × 272.62
  4. Step 4: Simplify right side
    283.28x = 115,716.29
  5. Step 5: Solve for x
    x = 115,716.29/283.28
  6. Step 6: Final answer
    x = 408.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.