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Finding the Fourth Proportional to 326.38, 450.42 and 214.23

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Solution

The fourth proportional to 326.38, 450.42 and 214.23 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.38 : 450.42 = 214.23 : x
  2. Step 2: Convert to fraction form
    326.38/450.42 = 214.23/x
  3. Step 3: Cross multiply
    326.38x = 450.42 × 214.23
  4. Step 4: Simplify right side
    326.38x = 96,493.48
  5. Step 5: Solve for x
    x = 96,493.48/326.38
  6. Step 6: Final answer
    x = 295.65

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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.