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Finding the Fourth Proportional to 326.27, 450.34 and 215.71

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Solution

The fourth proportional to 326.27, 450.34 and 215.71 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.27 : 450.34 = 215.71 : x
  2. Step 2: Convert to fraction form
    326.27/450.34 = 215.71/x
  3. Step 3: Cross multiply
    326.27x = 450.34 × 215.71
  4. Step 4: Simplify right side
    326.27x = 97,140.59
  5. Step 5: Solve for x
    x = 97,140.59/326.27
  6. Step 6: Final answer
    x = 297.73

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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.