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Finding the Fourth Proportional to 619.80, 927.87 and 413.86

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Solution

The fourth proportional to 619.80, 927.87 and 413.86 is: 619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.80 : 927.87 = 413.86 : x
  2. Step 2: Convert to fraction form
    619.80/927.87 = 413.86/x
  3. Step 3: Cross multiply
    619.80x = 927.87 × 413.86
  4. Step 4: Simplify right side
    619.80x = 384,003.64
  5. Step 5: Solve for x
    x = 384,003.64/619.80
  6. Step 6: Final answer
    x = 619.57

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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.