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Finding the Fourth Proportional to 333.28, 499.11 and 264.70

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Solution

The fourth proportional to 333.28, 499.11 and 264.70 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.28 : 499.11 = 264.70 : x
  2. Step 2: Convert to fraction form
    333.28/499.11 = 264.70/x
  3. Step 3: Cross multiply
    333.28x = 499.11 × 264.70
  4. Step 4: Simplify right side
    333.28x = 132,114.42
  5. Step 5: Solve for x
    x = 132,114.42/333.28
  6. Step 6: Final answer
    x = 396.41

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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.