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Finding the Fourth Proportional to 413.88, 620.91 and 140.07

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Solution

The fourth proportional to 413.88, 620.91 and 140.07 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 620.91 = 140.07 : x
  2. Step 2: Convert to fraction form
    413.88/620.91 = 140.07/x
  3. Step 3: Cross multiply
    413.88x = 620.91 × 140.07
  4. Step 4: Simplify right side
    413.88x = 86,970.86
  5. Step 5: Solve for x
    x = 86,970.86/413.88
  6. Step 6: Final answer
    x = 210.14

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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.