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Finding the Fourth Proportional to 552.25, 827.59 and 397.47

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Solution

The fourth proportional to 552.25, 827.59 and 397.47 is: 595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 827.59 = 397.47 : x
  2. Step 2: Convert to fraction form
    552.25/827.59 = 397.47/x
  3. Step 3: Cross multiply
    552.25x = 827.59 × 397.47
  4. Step 4: Simplify right side
    552.25x = 328,942.20
  5. Step 5: Solve for x
    x = 328,942.20/552.25
  6. Step 6: Final answer
    x = 595.64

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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.