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Finding the Fourth Proportional to 551.61, 827.60 and 227.07

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Solution

The fourth proportional to 551.61, 827.60 and 227.07 is: 340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.61 : 827.60 = 227.07 : x
  2. Step 2: Convert to fraction form
    551.61/827.60 = 227.07/x
  3. Step 3: Cross multiply
    551.61x = 827.60 × 227.07
  4. Step 4: Simplify right side
    551.61x = 187,922.00
  5. Step 5: Solve for x
    x = 187,922.00/551.61
  6. Step 6: Final answer
    x = 340.68

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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.