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Finding the Fourth Proportional to 490.15, 676.55 and 324.41

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Solution

The fourth proportional to 490.15, 676.55 and 324.41 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.15 : 676.55 = 324.41 : x
  2. Step 2: Convert to fraction form
    490.15/676.55 = 324.41/x
  3. Step 3: Cross multiply
    490.15x = 676.55 × 324.41
  4. Step 4: Simplify right side
    490.15x = 219,477.01
  5. Step 5: Solve for x
    x = 219,477.01/490.15
  6. Step 6: Final answer
    x = 447.77

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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.