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Finding the Fourth Proportional to 293.36, 404.46 and 214.79

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Solution

The fourth proportional to 293.36, 404.46 and 214.79 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 404.46 = 214.79 : x
  2. Step 2: Convert to fraction form
    293.36/404.46 = 214.79/x
  3. Step 3: Cross multiply
    293.36x = 404.46 × 214.79
  4. Step 4: Simplify right side
    293.36x = 86,871.94
  5. Step 5: Solve for x
    x = 86,871.94/293.36
  6. Step 6: Final answer
    x = 296.13

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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.