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Finding the Fourth Proportional to 355.67, 490.79 and 200.42

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Solution

The fourth proportional to 355.67, 490.79 and 200.42 is: 276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.67 : 490.79 = 200.42 : x
  2. Step 2: Convert to fraction form
    355.67/490.79 = 200.42/x
  3. Step 3: Cross multiply
    355.67x = 490.79 × 200.42
  4. Step 4: Simplify right side
    355.67x = 98,363.13
  5. Step 5: Solve for x
    x = 98,363.13/355.67
  6. Step 6: Final answer
    x = 276.56

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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.