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Finding the Fourth Proportional to 552.39, 827.57 and 376.61

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Solution

The fourth proportional to 552.39, 827.57 and 376.61 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.39 : 827.57 = 376.61 : x
  2. Step 2: Convert to fraction form
    552.39/827.57 = 376.61/x
  3. Step 3: Cross multiply
    552.39x = 827.57 × 376.61
  4. Step 4: Simplify right side
    552.39x = 311,665.12
  5. Step 5: Solve for x
    x = 311,665.12/552.39
  6. Step 6: Final answer
    x = 564.21

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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.