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Finding the Fourth Proportional to 298.56, 411.45 and 239.43

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Solution

The fourth proportional to 298.56, 411.45 and 239.43 is: 329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 411.45 = 239.43 : x
  2. Step 2: Convert to fraction form
    298.56/411.45 = 239.43/x
  3. Step 3: Cross multiply
    298.56x = 411.45 × 239.43
  4. Step 4: Simplify right side
    298.56x = 98,513.47
  5. Step 5: Solve for x
    x = 98,513.47/298.56
  6. Step 6: Final answer
    x = 329.96

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