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Finding the Fourth Proportional to 551.92, 827.40 and 263.14

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Solution

The fourth proportional to 551.92, 827.40 and 263.14 is: 394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.92 : 827.40 = 263.14 : x
  2. Step 2: Convert to fraction form
    551.92/827.40 = 263.14/x
  3. Step 3: Cross multiply
    551.92x = 827.40 × 263.14
  4. Step 4: Simplify right side
    551.92x = 217,722.04
  5. Step 5: Solve for x
    x = 217,722.04/551.92
  6. Step 6: Final answer
    x = 394.48

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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.