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Finding the Fourth Proportional to 392.25, 541.31 and 276.06

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Solution

The fourth proportional to 392.25, 541.31 and 276.06 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 541.31 = 276.06 : x
  2. Step 2: Convert to fraction form
    392.25/541.31 = 276.06/x
  3. Step 3: Cross multiply
    392.25x = 541.31 × 276.06
  4. Step 4: Simplify right side
    392.25x = 149,432.66
  5. Step 5: Solve for x
    x = 149,432.66/392.25
  6. Step 6: Final answer
    x = 380.96

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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.