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Finding the Fourth Proportional to 490.44, 677.09 and 324.93

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Solution

The fourth proportional to 490.44, 677.09 and 324.93 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 677.09 = 324.93 : x
  2. Step 2: Convert to fraction form
    490.44/677.09 = 324.93/x
  3. Step 3: Cross multiply
    490.44x = 677.09 × 324.93
  4. Step 4: Simplify right side
    490.44x = 220,005.23
  5. Step 5: Solve for x
    x = 220,005.23/490.44
  6. Step 6: Final answer
    x = 448.59

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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.