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Finding the Fourth Proportional to 263.92, 398.24 and 253.92

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Solution

The fourth proportional to 263.92, 398.24 and 253.92 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.92 : 398.24 = 253.92 : x
  2. Step 2: Convert to fraction form
    263.92/398.24 = 253.92/x
  3. Step 3: Cross multiply
    263.92x = 398.24 × 253.92
  4. Step 4: Simplify right side
    263.92x = 101,121.10
  5. Step 5: Solve for x
    x = 101,121.10/263.92
  6. Step 6: Final answer
    x = 383.15

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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.