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Finding the Fourth Proportional to 276.08, 413.60 and 207.20

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Solution

The fourth proportional to 276.08, 413.60 and 207.20 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.08 : 413.60 = 207.20 : x
  2. Step 2: Convert to fraction form
    276.08/413.60 = 207.20/x
  3. Step 3: Cross multiply
    276.08x = 413.60 × 207.20
  4. Step 4: Simplify right side
    276.08x = 85,697.92
  5. Step 5: Solve for x
    x = 85,697.92/276.08
  6. Step 6: Final answer
    x = 310.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.