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Finding the Fourth Proportional to 263.46, 394.28 and 216.63

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Solution

The fourth proportional to 263.46, 394.28 and 216.63 is: 324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 394.28 = 216.63 : x
  2. Step 2: Convert to fraction form
    263.46/394.28 = 216.63/x
  3. Step 3: Cross multiply
    263.46x = 394.28 × 216.63
  4. Step 4: Simplify right side
    263.46x = 85,410.89
  5. Step 5: Solve for x
    x = 85,410.89/263.46
  6. Step 6: Final answer
    x = 324.19

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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.