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Finding the Fourth Proportional to 339.38, 468.52 and 229.44

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Solution

The fourth proportional to 339.38, 468.52 and 229.44 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 468.52 = 229.44 : x
  2. Step 2: Convert to fraction form
    339.38/468.52 = 229.44/x
  3. Step 3: Cross multiply
    339.38x = 468.52 × 229.44
  4. Step 4: Simplify right side
    339.38x = 107,494.89
  5. Step 5: Solve for x
    x = 107,494.89/339.38
  6. Step 6: Final answer
    x = 316.74

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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.