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Finding the Fourth Proportional to 293.35, 404.49 and 214.53

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Solution

The fourth proportional to 293.35, 404.49 and 214.53 is: 295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.35 : 404.49 = 214.53 : x
  2. Step 2: Convert to fraction form
    293.35/404.49 = 214.53/x
  3. Step 3: Cross multiply
    293.35x = 404.49 × 214.53
  4. Step 4: Simplify right side
    293.35x = 86,775.24
  5. Step 5: Solve for x
    x = 86,775.24/293.35
  6. Step 6: Final answer
    x = 295.81

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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.