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Finding the Fourth Proportional to 336.38, 464.28 and 231.49

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Solution

The fourth proportional to 336.38, 464.28 and 231.49 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 464.28 = 231.49 : x
  2. Step 2: Convert to fraction form
    336.38/464.28 = 231.49/x
  3. Step 3: Cross multiply
    336.38x = 464.28 × 231.49
  4. Step 4: Simplify right side
    336.38x = 107,473.86
  5. Step 5: Solve for x
    x = 107,473.86/336.38
  6. Step 6: Final answer
    x = 319.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.