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Finding the Fourth Proportional to 551.46, 827.46 and 263.10

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Solution

The fourth proportional to 551.46, 827.46 and 263.10 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.46 : 827.46 = 263.10 : x
  2. Step 2: Convert to fraction form
    551.46/827.46 = 263.10/x
  3. Step 3: Cross multiply
    551.46x = 827.46 × 263.10
  4. Step 4: Simplify right side
    551.46x = 217,704.73
  5. Step 5: Solve for x
    x = 217,704.73/551.46
  6. Step 6: Final answer
    x = 394.78

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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.