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Finding the Fourth Proportional to 490.86, 677.13 and 304.28

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Solution

The fourth proportional to 490.86, 677.13 and 304.28 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 677.13 = 304.28 : x
  2. Step 2: Convert to fraction form
    490.86/677.13 = 304.28/x
  3. Step 3: Cross multiply
    490.86x = 677.13 × 304.28
  4. Step 4: Simplify right side
    490.86x = 206,039.60
  5. Step 5: Solve for x
    x = 206,039.60/490.86
  6. Step 6: Final answer
    x = 419.75

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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.