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Finding the Fourth Proportional to 362.28, 499.23 and 257.49

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Solution

The fourth proportional to 362.28, 499.23 and 257.49 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 499.23 = 257.49 : x
  2. Step 2: Convert to fraction form
    362.28/499.23 = 257.49/x
  3. Step 3: Cross multiply
    362.28x = 499.23 × 257.49
  4. Step 4: Simplify right side
    362.28x = 128,546.73
  5. Step 5: Solve for x
    x = 128,546.73/362.28
  6. Step 6: Final answer
    x = 354.83

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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.