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Finding the Fourth Proportional to 326.76, 451.17 and 216.42

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Solution

The fourth proportional to 326.76, 451.17 and 216.42 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.76 : 451.17 = 216.42 : x
  2. Step 2: Convert to fraction form
    326.76/451.17 = 216.42/x
  3. Step 3: Cross multiply
    326.76x = 451.17 × 216.42
  4. Step 4: Simplify right side
    326.76x = 97,642.21
  5. Step 5: Solve for x
    x = 97,642.21/326.76
  6. Step 6: Final answer
    x = 298.82

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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.