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Finding the Fourth Proportional to 333.24, 499.28 and 299.42

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Solution

The fourth proportional to 333.24, 499.28 and 299.42 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.24 : 499.28 = 299.42 : x
  2. Step 2: Convert to fraction form
    333.24/499.28 = 299.42/x
  3. Step 3: Cross multiply
    333.24x = 499.28 × 299.42
  4. Step 4: Simplify right side
    333.24x = 149,494.42
  5. Step 5: Solve for x
    x = 149,494.42/333.24
  6. Step 6: Final answer
    x = 448.62

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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.