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Finding the Fourth Proportional to 490.16, 676.44 and 280.37

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Solution

The fourth proportional to 490.16, 676.44 and 280.37 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 676.44 = 280.37 : x
  2. Step 2: Convert to fraction form
    490.16/676.44 = 280.37/x
  3. Step 3: Cross multiply
    490.16x = 676.44 × 280.37
  4. Step 4: Simplify right side
    490.16x = 189,653.48
  5. Step 5: Solve for x
    x = 189,653.48/490.16
  6. Step 6: Final answer
    x = 386.92

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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.