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Finding the Fourth Proportional to 263.84, 395.04 and 255.32

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Solution

The fourth proportional to 263.84, 395.04 and 255.32 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 395.04 = 255.32 : x
  2. Step 2: Convert to fraction form
    263.84/395.04 = 255.32/x
  3. Step 3: Cross multiply
    263.84x = 395.04 × 255.32
  4. Step 4: Simplify right side
    263.84x = 100,861.61
  5. Step 5: Solve for x
    x = 100,861.61/263.84
  6. Step 6: Final answer
    x = 382.28

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Why These Related Problems?

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