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Finding the Fourth Proportional to 276.12, 413.64 and 207.36

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Solution

The fourth proportional to 276.12, 413.64 and 207.36 is: 310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 413.64 = 207.36 : x
  2. Step 2: Convert to fraction form
    276.12/413.64 = 207.36/x
  3. Step 3: Cross multiply
    276.12x = 413.64 × 207.36
  4. Step 4: Simplify right side
    276.12x = 85,772.39
  5. Step 5: Solve for x
    x = 85,772.39/276.12
  6. Step 6: Final answer
    x = 310.63

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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.