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Finding the Fourth Proportional to 338.00, 506.52 and 229.86

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Solution

The fourth proportional to 338.00, 506.52 and 229.86 is: 344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 506.52 = 229.86 : x
  2. Step 2: Convert to fraction form
    338.00/506.52 = 229.86/x
  3. Step 3: Cross multiply
    338.00x = 506.52 × 229.86
  4. Step 4: Simplify right side
    338.00x = 116,428.69
  5. Step 5: Solve for x
    x = 116,428.69/338.00
  6. Step 6: Final answer
    x = 344.47

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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.