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Finding the Fourth Proportional to 413.64, 620.46 and 139.71

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Solution

The fourth proportional to 413.64, 620.46 and 139.71 is: 209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 620.46 = 139.71 : x
  2. Step 2: Convert to fraction form
    413.64/620.46 = 139.71/x
  3. Step 3: Cross multiply
    413.64x = 620.46 × 139.71
  4. Step 4: Simplify right side
    413.64x = 86,684.47
  5. Step 5: Solve for x
    x = 86,684.47/413.64
  6. Step 6: Final answer
    x = 209.57

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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.