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Finding the Fourth Proportional to 298.41, 413.56 and 293.85

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Solution

The fourth proportional to 298.41, 413.56 and 293.85 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 413.56 = 293.85 : x
  2. Step 2: Convert to fraction form
    298.41/413.56 = 293.85/x
  3. Step 3: Cross multiply
    298.41x = 413.56 × 293.85
  4. Step 4: Simplify right side
    298.41x = 121,524.97
  5. Step 5: Solve for x
    x = 121,524.97/298.41
  6. Step 6: Final answer
    x = 407.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.