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Finding the Fourth Proportional to 549.56, 823.82 and 275.41

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Solution

The fourth proportional to 549.56, 823.82 and 275.41 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 823.82 = 275.41 : x
  2. Step 2: Convert to fraction form
    549.56/823.82 = 275.41/x
  3. Step 3: Cross multiply
    549.56x = 823.82 × 275.41
  4. Step 4: Simplify right side
    549.56x = 226,886.90
  5. Step 5: Solve for x
    x = 226,886.90/549.56
  6. Step 6: Final answer
    x = 412.86

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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.