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Finding the Fourth Proportional to 413.25, 619.98 and 139.37

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Solution

The fourth proportional to 413.25, 619.98 and 139.37 is: 209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 619.98 = 139.37 : x
  2. Step 2: Convert to fraction form
    413.25/619.98 = 139.37/x
  3. Step 3: Cross multiply
    413.25x = 619.98 × 139.37
  4. Step 4: Simplify right side
    413.25x = 86,403.51
  5. Step 5: Solve for x
    x = 86,403.51/413.25
  6. Step 6: Final answer
    x = 209.08

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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.