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Finding the Fourth Proportional to 413.26, 619.21 and 207.40

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Solution

The fourth proportional to 413.26, 619.21 and 207.40 is: 310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 619.21 = 207.40 : x
  2. Step 2: Convert to fraction form
    413.26/619.21 = 207.40/x
  3. Step 3: Cross multiply
    413.26x = 619.21 × 207.40
  4. Step 4: Simplify right side
    413.26x = 128,422.99
  5. Step 5: Solve for x
    x = 128,422.99/413.26
  6. Step 6: Final answer
    x = 310.75

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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.