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Finding the Fourth Proportional to 338.24, 506.76 and 229.64

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Solution

The fourth proportional to 338.24, 506.76 and 229.64 is: 344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 506.76 = 229.64 : x
  2. Step 2: Convert to fraction form
    338.24/506.76 = 229.64/x
  3. Step 3: Cross multiply
    338.24x = 506.76 × 229.64
  4. Step 4: Simplify right side
    338.24x = 116,372.37
  5. Step 5: Solve for x
    x = 116,372.37/338.24
  6. Step 6: Final answer
    x = 344.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.