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Finding the Fourth Proportional to 551.92, 827.60 and 205.24

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Solution

The fourth proportional to 551.92, 827.60 and 205.24 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.92 : 827.60 = 205.24 : x
  2. Step 2: Convert to fraction form
    551.92/827.60 = 205.24/x
  3. Step 3: Cross multiply
    551.92x = 827.60 × 205.24
  4. Step 4: Simplify right side
    551.92x = 169,856.62
  5. Step 5: Solve for x
    x = 169,856.62/551.92
  6. Step 6: Final answer
    x = 307.76

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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.