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Finding the Fourth Proportional to 326, 450 and 301.76

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Solution

The fourth proportional to 326, 450 and 301.76 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326 : 450 = 301.76 : x
  2. Step 2: Convert to fraction form
    326/450 = 301.76/x
  3. Step 3: Cross multiply
    326x = 450 × 301.76
  4. Step 4: Simplify right side
    326x = 135,792
  5. Step 5: Solve for x
    x = 135,792/326
  6. Step 6: Final answer
    x = 416.54

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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.