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Finding the Fourth Proportional to 293.07, 404.62 and 219.27

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Solution

The fourth proportional to 293.07, 404.62 and 219.27 is: 302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 404.62 = 219.27 : x
  2. Step 2: Convert to fraction form
    293.07/404.62 = 219.27/x
  3. Step 3: Cross multiply
    293.07x = 404.62 × 219.27
  4. Step 4: Simplify right side
    293.07x = 88,721.03
  5. Step 5: Solve for x
    x = 88,721.03/293.07
  6. Step 6: Final answer
    x = 302.73

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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.