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Finding the Fourth Proportional to 339.90, 468.49 and 269.83

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Solution

The fourth proportional to 339.90, 468.49 and 269.83 is: 371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.90 : 468.49 = 269.83 : x
  2. Step 2: Convert to fraction form
    339.90/468.49 = 269.83/x
  3. Step 3: Cross multiply
    339.90x = 468.49 × 269.83
  4. Step 4: Simplify right side
    339.90x = 126,412.66
  5. Step 5: Solve for x
    x = 126,412.66/339.90
  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.