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Finding the Fourth Proportional to 549.20, 824.60 and 413.20

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Solution

The fourth proportional to 549.20, 824.60 and 413.20 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.20 : 824.60 = 413.20 : x
  2. Step 2: Convert to fraction form
    549.20/824.60 = 413.20/x
  3. Step 3: Cross multiply
    549.20x = 824.60 × 413.20
  4. Step 4: Simplify right side
    549.20x = 340,724.72
  5. Step 5: Solve for x
    x = 340,724.72/549.20
  6. Step 6: Final answer
    x = 620.40

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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.