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Finding the Fourth Proportional to 326.98, 450.59 and 216.41

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Solution

The fourth proportional to 326.98, 450.59 and 216.41 is: 298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.98 : 450.59 = 216.41 : x
  2. Step 2: Convert to fraction form
    326.98/450.59 = 216.41/x
  3. Step 3: Cross multiply
    326.98x = 450.59 × 216.41
  4. Step 4: Simplify right side
    326.98x = 97,512.23
  5. Step 5: Solve for x
    x = 97,512.23/326.98
  6. Step 6: Final answer
    x = 298.22

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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.