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Finding the Fourth Proportional to 413.68, 619.31 and 259.11

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Solution

The fourth proportional to 413.68, 619.31 and 259.11 is: 387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 619.31 = 259.11 : x
  2. Step 2: Convert to fraction form
    413.68/619.31 = 259.11/x
  3. Step 3: Cross multiply
    413.68x = 619.31 × 259.11
  4. Step 4: Simplify right side
    413.68x = 160,469.41
  5. Step 5: Solve for x
    x = 160,469.41/413.68
  6. Step 6: Final answer
    x = 387.91

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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.