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Finding the Fourth Proportional to 326.30, 491.23 and 281.66

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Solution

The fourth proportional to 326.30, 491.23 and 281.66 is: 424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.30 : 491.23 = 281.66 : x
  2. Step 2: Convert to fraction form
    326.30/491.23 = 281.66/x
  3. Step 3: Cross multiply
    326.30x = 491.23 × 281.66
  4. Step 4: Simplify right side
    326.30x = 138,358.43
  5. Step 5: Solve for x
    x = 138,358.43/326.30
  6. Step 6: Final answer
    x = 424.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.