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Finding the Fourth Proportional to 413.59, 620.13 and 139.66

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Solution

The fourth proportional to 413.59, 620.13 and 139.66 is: 209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.59 : 620.13 = 139.66 : x
  2. Step 2: Convert to fraction form
    413.59/620.13 = 139.66/x
  3. Step 3: Cross multiply
    413.59x = 620.13 × 139.66
  4. Step 4: Simplify right side
    413.59x = 86,604.26
  5. Step 5: Solve for x
    x = 86,604.26/413.59
  6. Step 6: Final answer
    x = 209.40

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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.