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Finding the Fourth Proportional to 413.31, 620.02 and 139.47

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Solution

The fourth proportional to 413.31, 620.02 and 139.47 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 620.02 = 139.47 : x
  2. Step 2: Convert to fraction form
    413.31/620.02 = 139.47/x
  3. Step 3: Cross multiply
    413.31x = 620.02 × 139.47
  4. Step 4: Simplify right side
    413.31x = 86,472.04
  5. Step 5: Solve for x
    x = 86,472.04/413.31
  6. Step 6: Final answer
    x = 209.22

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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.