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Finding the Fourth Proportional to 551.65, 827.20 and 204.73

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Solution

The fourth proportional to 551.65, 827.20 and 204.73 is: 306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.65 : 827.20 = 204.73 : x
  2. Step 2: Convert to fraction form
    551.65/827.20 = 204.73/x
  3. Step 3: Cross multiply
    551.65x = 827.20 × 204.73
  4. Step 4: Simplify right side
    551.65x = 169,352.66
  5. Step 5: Solve for x
    x = 169,352.66/551.65
  6. Step 6: Final answer
    x = 306.99

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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.