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Finding the Fourth Proportional to 293.07, 404.84 and 238.48

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Solution

The fourth proportional to 293.07, 404.84 and 238.48 is: 329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 404.84 = 238.48 : x
  2. Step 2: Convert to fraction form
    293.07/404.84 = 238.48/x
  3. Step 3: Cross multiply
    293.07x = 404.84 × 238.48
  4. Step 4: Simplify right side
    293.07x = 96,546.24
  5. Step 5: Solve for x
    x = 96,546.24/293.07
  6. Step 6: Final answer
    x = 329.43

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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.