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Finding the Fourth Proportional to 549.06, 822.81 and 426.75

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Solution

The fourth proportional to 549.06, 822.81 and 426.75 is: 639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.06 : 822.81 = 426.75 : x
  2. Step 2: Convert to fraction form
    549.06/822.81 = 426.75/x
  3. Step 3: Cross multiply
    549.06x = 822.81 × 426.75
  4. Step 4: Simplify right side
    549.06x = 351,134.17
  5. Step 5: Solve for x
    x = 351,134.17/549.06
  6. Step 6: Final answer
    x = 639.52

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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.