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Finding the Fourth Proportional to 549.73, 827.80 and 396.71

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Solution

The fourth proportional to 549.73, 827.80 and 396.71 is: 597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.73 : 827.80 = 396.71 : x
  2. Step 2: Convert to fraction form
    549.73/827.80 = 396.71/x
  3. Step 3: Cross multiply
    549.73x = 827.80 × 396.71
  4. Step 4: Simplify right side
    549.73x = 328,394.51
  5. Step 5: Solve for x
    x = 328,394.51/549.73
  6. Step 6: Final answer
    x = 597.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.