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Finding the Fourth Proportional to 552.28, 827.98 and 357.48

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Solution

The fourth proportional to 552.28, 827.98 and 357.48 is: 535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.28 : 827.98 = 357.48 : x
  2. Step 2: Convert to fraction form
    552.28/827.98 = 357.48/x
  3. Step 3: Cross multiply
    552.28x = 827.98 × 357.48
  4. Step 4: Simplify right side
    552.28x = 295,986.29
  5. Step 5: Solve for x
    x = 295,986.29/552.28
  6. Step 6: Final answer
    x = 535.94

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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.