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Finding the Fourth Proportional to 293.90, 405.78 and 269.24

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Solution

The fourth proportional to 293.90, 405.78 and 269.24 is: 371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 405.78 = 269.24 : x
  2. Step 2: Convert to fraction form
    293.90/405.78 = 269.24/x
  3. Step 3: Cross multiply
    293.90x = 405.78 × 269.24
  4. Step 4: Simplify right side
    293.90x = 109,252.21
  5. Step 5: Solve for x
    x = 109,252.21/293.90
  6. Step 6: Final answer
    x = 371.73

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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.