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Finding the Fourth Proportional to 640.78, 961.24 and 275.60

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Solution

The fourth proportional to 640.78, 961.24 and 275.60 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.78 : 961.24 = 275.60 : x
  2. Step 2: Convert to fraction form
    640.78/961.24 = 275.60/x
  3. Step 3: Cross multiply
    640.78x = 961.24 × 275.60
  4. Step 4: Simplify right side
    640.78x = 264,917.74
  5. Step 5: Solve for x
    x = 264,917.74/640.78
  6. Step 6: Final answer
    x = 413.43

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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.