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Finding the Fourth Proportional to 333.28, 499.14 and 321.74

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Solution

The fourth proportional to 333.28, 499.14 and 321.74 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.28 : 499.14 = 321.74 : x
  2. Step 2: Convert to fraction form
    333.28/499.14 = 321.74/x
  3. Step 3: Cross multiply
    333.28x = 499.14 × 321.74
  4. Step 4: Simplify right side
    333.28x = 160,593.30
  5. Step 5: Solve for x
    x = 160,593.30/333.28
  6. Step 6: Final answer
    x = 481.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.