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Finding the Fourth Proportional to 293.09, 404.34 and 269.78

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Solution

The fourth proportional to 293.09, 404.34 and 269.78 is: 372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 404.34 = 269.78 : x
  2. Step 2: Convert to fraction form
    293.09/404.34 = 269.78/x
  3. Step 3: Cross multiply
    293.09x = 404.34 × 269.78
  4. Step 4: Simplify right side
    293.09x = 109,080.82
  5. Step 5: Solve for x
    x = 109,080.82/293.09
  6. Step 6: Final answer
    x = 372.18

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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.