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Finding the Fourth Proportional to 326.48, 450.41 and 202.05

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Solution

The fourth proportional to 326.48, 450.41 and 202.05 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.48 : 450.41 = 202.05 : x
  2. Step 2: Convert to fraction form
    326.48/450.41 = 202.05/x
  3. Step 3: Cross multiply
    326.48x = 450.41 × 202.05
  4. Step 4: Simplify right side
    326.48x = 91,004.33
  5. Step 5: Solve for x
    x = 91,004.33/326.48
  6. Step 6: Final answer
    x = 278.75

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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.