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Finding the Fourth Proportional to 413.42, 620.13 and 139.51

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Solution

The fourth proportional to 413.42, 620.13 and 139.51 is: 209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 620.13 = 139.51 : x
  2. Step 2: Convert to fraction form
    413.42/620.13 = 139.51/x
  3. Step 3: Cross multiply
    413.42x = 620.13 × 139.51
  4. Step 4: Simplify right side
    413.42x = 86,513.64
  5. Step 5: Solve for x
    x = 86,513.64/413.42
  6. Step 6: Final answer
    x = 209.27

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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.