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Finding the Fourth Proportional to 549.12, 822.63 and 274.53

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Solution

The fourth proportional to 549.12, 822.63 and 274.53 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 822.63 = 274.53 : x
  2. Step 2: Convert to fraction form
    549.12/822.63 = 274.53/x
  3. Step 3: Cross multiply
    549.12x = 822.63 × 274.53
  4. Step 4: Simplify right side
    549.12x = 225,836.61
  5. Step 5: Solve for x
    x = 225,836.61/549.12
  6. Step 6: Final answer
    x = 411.27

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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.