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Finding the Fourth Proportional to 339.29, 468.19 and 269.52

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Solution

The fourth proportional to 339.29, 468.19 and 269.52 is: 371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.29 : 468.19 = 269.52 : x
  2. Step 2: Convert to fraction form
    339.29/468.19 = 269.52/x
  3. Step 3: Cross multiply
    339.29x = 468.19 × 269.52
  4. Step 4: Simplify right side
    339.29x = 126,186.91
  5. Step 5: Solve for x
    x = 126,186.91/339.29
  6. Step 6: Final answer
    x = 371.91

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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.