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Finding the Fourth Proportional to 549.56, 824.60 and 275.85

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Solution

The fourth proportional to 549.56, 824.60 and 275.85 is: 413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 824.60 = 275.85 : x
  2. Step 2: Convert to fraction form
    549.56/824.60 = 275.85/x
  3. Step 3: Cross multiply
    549.56x = 824.60 × 275.85
  4. Step 4: Simplify right side
    549.56x = 227,464.53
  5. Step 5: Solve for x
    x = 227,464.53/549.56
  6. Step 6: Final answer
    x = 413.90

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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.