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Finding the Fourth Proportional to 326.46, 450.30 and 202.08

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Solution

The fourth proportional to 326.46, 450.30 and 202.08 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.46 : 450.30 = 202.08 : x
  2. Step 2: Convert to fraction form
    326.46/450.30 = 202.08/x
  3. Step 3: Cross multiply
    326.46x = 450.30 × 202.08
  4. Step 4: Simplify right side
    326.46x = 90,996.62
  5. Step 5: Solve for x
    x = 90,996.62/326.46
  6. Step 6: Final answer
    x = 278.74

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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.