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Finding the Fourth Proportional to 333.27, 499.64 and 218.43

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Solution

The fourth proportional to 333.27, 499.64 and 218.43 is: 327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.27 : 499.64 = 218.43 : x
  2. Step 2: Convert to fraction form
    333.27/499.64 = 218.43/x
  3. Step 3: Cross multiply
    333.27x = 499.64 × 218.43
  4. Step 4: Simplify right side
    333.27x = 109,136.37
  5. Step 5: Solve for x
    x = 109,136.37/333.27
  6. Step 6: Final answer
    x = 327.47

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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.