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Finding the Fourth Proportional to 552.28, 828.64 and 243.92

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Solution

The fourth proportional to 552.28, 828.64 and 243.92 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.28 : 828.64 = 243.92 : x
  2. Step 2: Convert to fraction form
    552.28/828.64 = 243.92/x
  3. Step 3: Cross multiply
    552.28x = 828.64 × 243.92
  4. Step 4: Simplify right side
    552.28x = 202,121.87
  5. Step 5: Solve for x
    x = 202,121.87/552.28
  6. Step 6: Final answer
    x = 365.98

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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.