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Finding the Fourth Proportional to 333.70, 500.17 and 224.08

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Solution

The fourth proportional to 333.70, 500.17 and 224.08 is: 335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 500.17 = 224.08 : x
  2. Step 2: Convert to fraction form
    333.70/500.17 = 224.08/x
  3. Step 3: Cross multiply
    333.70x = 500.17 × 224.08
  4. Step 4: Simplify right side
    333.70x = 112,078.09
  5. Step 5: Solve for x
    x = 112,078.09/333.70
  6. Step 6: Final answer
    x = 335.86

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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.