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Finding the Fourth Proportional to 549.45, 822.56 and 505.71

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Solution

The fourth proportional to 549.45, 822.56 and 505.71 is: 757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 822.56 = 505.71 : x
  2. Step 2: Convert to fraction form
    549.45/822.56 = 505.71/x
  3. Step 3: Cross multiply
    549.45x = 822.56 × 505.71
  4. Step 4: Simplify right side
    549.45x = 415,974.29
  5. Step 5: Solve for x
    x = 415,974.29/549.45
  6. Step 6: Final answer
    x = 757.07

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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.