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Finding the Fourth Proportional to 263.42, 394.61 and 217.21

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Solution

The fourth proportional to 263.42, 394.61 and 217.21 is: 325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 394.61 = 217.21 : x
  2. Step 2: Convert to fraction form
    263.42/394.61 = 217.21/x
  3. Step 3: Cross multiply
    263.42x = 394.61 × 217.21
  4. Step 4: Simplify right side
    263.42x = 85,713.24
  5. Step 5: Solve for x
    x = 85,713.24/263.42
  6. Step 6: Final answer
    x = 325.39

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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.