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Finding the Fourth Proportional to 293.32, 404.07 and 219.61

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Solution

The fourth proportional to 293.32, 404.07 and 219.61 is: 302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.32 : 404.07 = 219.61 : x
  2. Step 2: Convert to fraction form
    293.32/404.07 = 219.61/x
  3. Step 3: Cross multiply
    293.32x = 404.07 × 219.61
  4. Step 4: Simplify right side
    293.32x = 88,735.79
  5. Step 5: Solve for x
    x = 88,735.79/293.32
  6. Step 6: Final answer
    x = 302.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.