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Finding the Fourth Proportional to 490.74, 677.31 and 324.96

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Solution

The fourth proportional to 490.74, 677.31 and 324.96 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 677.31 = 324.96 : x
  2. Step 2: Convert to fraction form
    490.74/677.31 = 324.96/x
  3. Step 3: Cross multiply
    490.74x = 677.31 × 324.96
  4. Step 4: Simplify right side
    490.74x = 220,095.27
  5. Step 5: Solve for x
    x = 220,095.27/490.74
  6. Step 6: Final answer
    x = 448.50

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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.