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Finding the Fourth Proportional to 551.54, 827.08 and 204.82

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Solution

The fourth proportional to 551.54, 827.08 and 204.82 is: 307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.54 : 827.08 = 204.82 : x
  2. Step 2: Convert to fraction form
    551.54/827.08 = 204.82/x
  3. Step 3: Cross multiply
    551.54x = 827.08 × 204.82
  4. Step 4: Simplify right side
    551.54x = 169,399.95
  5. Step 5: Solve for x
    x = 169,399.95/551.54
  6. Step 6: Final answer
    x = 307.14

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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.