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Finding the Fourth Proportional to 287.56, 397.02 and 200.44

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Solution

The fourth proportional to 287.56, 397.02 and 200.44 is: 276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.56 : 397.02 = 200.44 : x
  2. Step 2: Convert to fraction form
    287.56/397.02 = 200.44/x
  3. Step 3: Cross multiply
    287.56x = 397.02 × 200.44
  4. Step 4: Simplify right side
    287.56x = 79,578.69
  5. Step 5: Solve for x
    x = 79,578.69/287.56
  6. Step 6: Final answer
    x = 276.74

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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.