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Finding the Fourth Proportional to 326.80, 450.73 and 216.23

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Solution

The fourth proportional to 326.80, 450.73 and 216.23 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.80 : 450.73 = 216.23 : x
  2. Step 2: Convert to fraction form
    326.80/450.73 = 216.23/x
  3. Step 3: Cross multiply
    326.80x = 450.73 × 216.23
  4. Step 4: Simplify right side
    326.80x = 97,461.93
  5. Step 5: Solve for x
    x = 97,461.93/326.80
  6. Step 6: Final answer
    x = 298.23

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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.