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Finding the Fourth Proportional to 490.36, 676.73 and 277.73

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Solution

The fourth proportional to 490.36, 676.73 and 277.73 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.36 : 676.73 = 277.73 : x
  2. Step 2: Convert to fraction form
    490.36/676.73 = 277.73/x
  3. Step 3: Cross multiply
    490.36x = 676.73 × 277.73
  4. Step 4: Simplify right side
    490.36x = 187,943.45
  5. Step 5: Solve for x
    x = 187,943.45/490.36
  6. Step 6: Final answer
    x = 383.28

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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.