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Finding the Fourth Proportional to 326.97, 490.74 and 216.98

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Solution

The fourth proportional to 326.97, 490.74 and 216.98 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 490.74 = 216.98 : x
  2. Step 2: Convert to fraction form
    326.97/490.74 = 216.98/x
  3. Step 3: Cross multiply
    326.97x = 490.74 × 216.98
  4. Step 4: Simplify right side
    326.97x = 106,480.77
  5. Step 5: Solve for x
    x = 106,480.77/326.97
  6. Step 6: Final answer
    x = 325.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.