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Finding the Fourth Proportional to 355.40, 490.56 and 200.24

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Solution

The fourth proportional to 355.40, 490.56 and 200.24 is: 276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.40 : 490.56 = 200.24 : x
  2. Step 2: Convert to fraction form
    355.40/490.56 = 200.24/x
  3. Step 3: Cross multiply
    355.40x = 490.56 × 200.24
  4. Step 4: Simplify right side
    355.40x = 98,229.73
  5. Step 5: Solve for x
    x = 98,229.73/355.40
  6. Step 6: Final answer
    x = 276.39

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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.