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Finding the Fourth Proportional to 275.37, 413.33 and 207.33

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Solution

The fourth proportional to 275.37, 413.33 and 207.33 is: 311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 413.33 = 207.33 : x
  2. Step 2: Convert to fraction form
    275.37/413.33 = 207.33/x
  3. Step 3: Cross multiply
    275.37x = 413.33 × 207.33
  4. Step 4: Simplify right side
    275.37x = 85,693.12
  5. Step 5: Solve for x
    x = 85,693.12/275.37
  6. Step 6: Final answer
    x = 311.20

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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.