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Finding the Fourth Proportional to 463.97, 694.74 and 326.27

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Solution

The fourth proportional to 463.97, 694.74 and 326.27 is: 488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.97 : 694.74 = 326.27 : x
  2. Step 2: Convert to fraction form
    463.97/694.74 = 326.27/x
  3. Step 3: Cross multiply
    463.97x = 694.74 × 326.27
  4. Step 4: Simplify right side
    463.97x = 226,672.82
  5. Step 5: Solve for x
    x = 226,672.82/463.97
  6. Step 6: Final answer
    x = 488.55

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