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Finding the Fourth Proportional to 549.46, 824.26 and 184.29

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Solution

The fourth proportional to 549.46, 824.26 and 184.29 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 824.26 = 184.29 : x
  2. Step 2: Convert to fraction form
    549.46/824.26 = 184.29/x
  3. Step 3: Cross multiply
    549.46x = 824.26 × 184.29
  4. Step 4: Simplify right side
    549.46x = 151,902.88
  5. Step 5: Solve for x
    x = 151,902.88/549.46
  6. Step 6: Final answer
    x = 276.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.