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Finding the Fourth Proportional to 551.78, 827.84 and 243.71

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Solution

The fourth proportional to 551.78, 827.84 and 243.71 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.78 : 827.84 = 243.71 : x
  2. Step 2: Convert to fraction form
    551.78/827.84 = 243.71/x
  3. Step 3: Cross multiply
    551.78x = 827.84 × 243.71
  4. Step 4: Simplify right side
    551.78x = 201,749.36
  5. Step 5: Solve for x
    x = 201,749.36/551.78
  6. Step 6: Final answer
    x = 365.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.