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Finding the Fourth Proportional to 293.04, 404.27 and 269.73

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Solution

The fourth proportional to 293.04, 404.27 and 269.73 is: 372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.04 : 404.27 = 269.73 : x
  2. Step 2: Convert to fraction form
    293.04/404.27 = 269.73/x
  3. Step 3: Cross multiply
    293.04x = 404.27 × 269.73
  4. Step 4: Simplify right side
    293.04x = 109,043.41
  5. Step 5: Solve for x
    x = 109,043.41/293.04
  6. Step 6: Final answer
    x = 372.11

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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.