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Finding the Fourth Proportional to 490.08, 676.08 and 324.24

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Solution

The fourth proportional to 490.08, 676.08 and 324.24 is: 447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 676.08 = 324.24 : x
  2. Step 2: Convert to fraction form
    490.08/676.08 = 324.24/x
  3. Step 3: Cross multiply
    490.08x = 676.08 × 324.24
  4. Step 4: Simplify right side
    490.08x = 219,212.18
  5. Step 5: Solve for x
    x = 219,212.18/490.08
  6. Step 6: Final answer
    x = 447.30

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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.