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Finding the Fourth Proportional to 490.93, 677.31 and 304.30

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Solution

The fourth proportional to 490.93, 677.31 and 304.30 is: 419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.93 : 677.31 = 304.30 : x
  2. Step 2: Convert to fraction form
    490.93/677.31 = 304.30/x
  3. Step 3: Cross multiply
    490.93x = 677.31 × 304.30
  4. Step 4: Simplify right side
    490.93x = 206,105.43
  5. Step 5: Solve for x
    x = 206,105.43/490.93
  6. Step 6: Final answer
    x = 419.83

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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.