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Finding the Fourth Proportional to 392.21, 541.57 and 327.05

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Solution

The fourth proportional to 392.21, 541.57 and 327.05 is: 451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.21 : 541.57 = 327.05 : x
  2. Step 2: Convert to fraction form
    392.21/541.57 = 327.05/x
  3. Step 3: Cross multiply
    392.21x = 541.57 × 327.05
  4. Step 4: Simplify right side
    392.21x = 177,120.47
  5. Step 5: Solve for x
    x = 177,120.47/392.21
  6. Step 6: Final answer
    x = 451.60

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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.