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Finding the Fourth Proportional to 552.78, 827.57 and 416.38

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Solution

The fourth proportional to 552.78, 827.57 and 416.38 is: 623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 827.57 = 416.38 : x
  2. Step 2: Convert to fraction form
    552.78/827.57 = 416.38/x
  3. Step 3: Cross multiply
    552.78x = 827.57 × 416.38
  4. Step 4: Simplify right side
    552.78x = 344,583.60
  5. Step 5: Solve for x
    x = 344,583.60/552.78
  6. Step 6: Final answer
    x = 623.36

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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.