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Finding the Fourth Proportional to 490.43, 677.11 and 304.12

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Solution

The fourth proportional to 490.43, 677.11 and 304.12 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.43 : 677.11 = 304.12 : x
  2. Step 2: Convert to fraction form
    490.43/677.11 = 304.12/x
  3. Step 3: Cross multiply
    490.43x = 677.11 × 304.12
  4. Step 4: Simplify right side
    490.43x = 205,917.79
  5. Step 5: Solve for x
    x = 205,917.79/490.43
  6. Step 6: Final answer
    x = 419.87

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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.