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Finding the Fourth Proportional to 413.53, 620.19 and 139.62

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Solution

The fourth proportional to 413.53, 620.19 and 139.62 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.53 : 620.19 = 139.62 : x
  2. Step 2: Convert to fraction form
    413.53/620.19 = 139.62/x
  3. Step 3: Cross multiply
    413.53x = 620.19 × 139.62
  4. Step 4: Simplify right side
    413.53x = 86,590.93
  5. Step 5: Solve for x
    x = 86,590.93/413.53
  6. Step 6: Final answer
    x = 209.39

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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.