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Finding the Fourth Proportional to 551.39, 827.39 and 204.96

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Solution

The fourth proportional to 551.39, 827.39 and 204.96 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.39 : 827.39 = 204.96 : x
  2. Step 2: Convert to fraction form
    551.39/827.39 = 204.96/x
  3. Step 3: Cross multiply
    551.39x = 827.39 × 204.96
  4. Step 4: Simplify right side
    551.39x = 169,582.37
  5. Step 5: Solve for x
    x = 169,582.37/551.39
  6. Step 6: Final answer
    x = 307.56

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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.