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Finding the Fourth Proportional to 413.14, 619.71 and 139.25

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Solution

The fourth proportional to 413.14, 619.71 and 139.25 is: 208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 619.71 = 139.25 : x
  2. Step 2: Convert to fraction form
    413.14/619.71 = 139.25/x
  3. Step 3: Cross multiply
    413.14x = 619.71 × 139.25
  4. Step 4: Simplify right side
    413.14x = 86,294.44
  5. Step 5: Solve for x
    x = 86,294.44/413.14
  6. Step 6: Final answer
    x = 208.88

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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.