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Finding the Fourth Proportional to 362.44, 499.60 and 245.80

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Solution

The fourth proportional to 362.44, 499.60 and 245.80 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 499.60 = 245.80 : x
  2. Step 2: Convert to fraction form
    362.44/499.60 = 245.80/x
  3. Step 3: Cross multiply
    362.44x = 499.60 × 245.80
  4. Step 4: Simplify right side
    362.44x = 122,801.68
  5. Step 5: Solve for x
    x = 122,801.68/362.44
  6. Step 6: Final answer
    x = 338.82

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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.