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Finding the Fourth Proportional to 276.38, 413.76 and 203.75

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Solution

The fourth proportional to 276.38, 413.76 and 203.75 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.38 : 413.76 = 203.75 : x
  2. Step 2: Convert to fraction form
    276.38/413.76 = 203.75/x
  3. Step 3: Cross multiply
    276.38x = 413.76 × 203.75
  4. Step 4: Simplify right side
    276.38x = 84,303.60
  5. Step 5: Solve for x
    x = 84,303.60/276.38
  6. Step 6: Final answer
    x = 305.03

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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.