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Finding the Fourth Proportional to 678.94, 936.60 and 413.26

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Solution

The fourth proportional to 678.94, 936.60 and 413.26 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.94 : 936.60 = 413.26 : x
  2. Step 2: Convert to fraction form
    678.94/936.60 = 413.26/x
  3. Step 3: Cross multiply
    678.94x = 936.60 × 413.26
  4. Step 4: Simplify right side
    678.94x = 387,059.32
  5. Step 5: Solve for x
    x = 387,059.32/678.94
  6. Step 6: Final answer
    x = 570.09

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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.