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Finding the Fourth Proportional to 319.56, 442.02 and 298.97

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Solution

The fourth proportional to 319.56, 442.02 and 298.97 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.56 : 442.02 = 298.97 : x
  2. Step 2: Convert to fraction form
    319.56/442.02 = 298.97/x
  3. Step 3: Cross multiply
    319.56x = 442.02 × 298.97
  4. Step 4: Simplify right side
    319.56x = 132,150.72
  5. Step 5: Solve for x
    x = 132,150.72/319.56
  6. Step 6: Final answer
    x = 413.54

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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.