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Finding the Fourth Proportional to 439.94, 606.78 and 413.82

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Solution

The fourth proportional to 439.94, 606.78 and 413.82 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.94 : 606.78 = 413.82 : x
  2. Step 2: Convert to fraction form
    439.94/606.78 = 413.82/x
  3. Step 3: Cross multiply
    439.94x = 606.78 × 413.82
  4. Step 4: Simplify right side
    439.94x = 251,097.70
  5. Step 5: Solve for x
    x = 251,097.70/439.94
  6. Step 6: Final answer
    x = 570.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.