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Finding the Fourth Proportional to 293.43, 404.83 and 214.90

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Solution

The fourth proportional to 293.43, 404.83 and 214.90 is: 296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.43 : 404.83 = 214.90 : x
  2. Step 2: Convert to fraction form
    293.43/404.83 = 214.90/x
  3. Step 3: Cross multiply
    293.43x = 404.83 × 214.90
  4. Step 4: Simplify right side
    293.43x = 86,997.97
  5. Step 5: Solve for x
    x = 86,997.97/293.43
  6. Step 6: Final answer
    x = 296.49

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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.