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Finding the Fourth Proportional to 490.60, 675.48 and 416.80

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Solution

The fourth proportional to 490.60, 675.48 and 416.80 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 675.48 = 416.80 : x
  2. Step 2: Convert to fraction form
    490.60/675.48 = 416.80/x
  3. Step 3: Cross multiply
    490.60x = 675.48 × 416.80
  4. Step 4: Simplify right side
    490.60x = 281,540.06
  5. Step 5: Solve for x
    x = 281,540.06/490.60
  6. Step 6: Final answer
    x = 573.87

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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.