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Finding the Fourth Proportional to 552.52, 827.56 and 369.06

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Solution

The fourth proportional to 552.52, 827.56 and 369.06 is: 552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.52 : 827.56 = 369.06 : x
  2. Step 2: Convert to fraction form
    552.52/827.56 = 369.06/x
  3. Step 3: Cross multiply
    552.52x = 827.56 × 369.06
  4. Step 4: Simplify right side
    552.52x = 305,419.29
  5. Step 5: Solve for x
    x = 305,419.29/552.52
  6. Step 6: Final answer
    x = 552.78

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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.