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Finding the Fourth Proportional to 413.13, 619.38 and 250.77

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Solution

The fourth proportional to 413.13, 619.38 and 250.77 is: 375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 619.38 = 250.77 : x
  2. Step 2: Convert to fraction form
    413.13/619.38 = 250.77/x
  3. Step 3: Cross multiply
    413.13x = 619.38 × 250.77
  4. Step 4: Simplify right side
    413.13x = 155,321.92
  5. Step 5: Solve for x
    x = 155,321.92/413.13
  6. Step 6: Final answer
    x = 375.96

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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.