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Finding the Fourth Proportional to 392.39, 541.41 and 298.97

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Solution

The fourth proportional to 392.39, 541.41 and 298.97 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.39 : 541.41 = 298.97 : x
  2. Step 2: Convert to fraction form
    392.39/541.41 = 298.97/x
  3. Step 3: Cross multiply
    392.39x = 541.41 × 298.97
  4. Step 4: Simplify right side
    392.39x = 161,865.35
  5. Step 5: Solve for x
    x = 161,865.35/392.39
  6. Step 6: Final answer
    x = 412.51

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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.