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Finding the Fourth Proportional to 490.73, 677.20 and 266.66

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Solution

The fourth proportional to 490.73, 677.20 and 266.66 is: 367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 677.20 = 266.66 : x
  2. Step 2: Convert to fraction form
    490.73/677.20 = 266.66/x
  3. Step 3: Cross multiply
    490.73x = 677.20 × 266.66
  4. Step 4: Simplify right side
    490.73x = 180,581.82
  5. Step 5: Solve for x
    x = 180,581.82/490.73
  6. Step 6: Final answer
    x = 367.99

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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.