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Finding the Fourth Proportional to 552.02, 827.87 and 397.48

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Solution

The fourth proportional to 552.02, 827.87 and 397.48 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 827.87 = 397.48 : x
  2. Step 2: Convert to fraction form
    552.02/827.87 = 397.48/x
  3. Step 3: Cross multiply
    552.02x = 827.87 × 397.48
  4. Step 4: Simplify right side
    552.02x = 329,059.78
  5. Step 5: Solve for x
    x = 329,059.78/552.02
  6. Step 6: Final answer
    x = 596.10

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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.