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Finding the Fourth Proportional to 490.22, 676.46 and 280.35

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Solution

The fourth proportional to 490.22, 676.46 and 280.35 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 676.46 = 280.35 : x
  2. Step 2: Convert to fraction form
    490.22/676.46 = 280.35/x
  3. Step 3: Cross multiply
    490.22x = 676.46 × 280.35
  4. Step 4: Simplify right side
    490.22x = 189,644.16
  5. Step 5: Solve for x
    x = 189,644.16/490.22
  6. Step 6: Final answer
    x = 386.86

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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.