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Finding the Fourth Proportional to 490.79, 677.33 and 304.24

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Solution

The fourth proportional to 490.79, 677.33 and 304.24 is: 419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.79 : 677.33 = 304.24 : x
  2. Step 2: Convert to fraction form
    490.79/677.33 = 304.24/x
  3. Step 3: Cross multiply
    490.79x = 677.33 × 304.24
  4. Step 4: Simplify right side
    490.79x = 206,069.95
  5. Step 5: Solve for x
    x = 206,069.95/490.79
  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.