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Finding the Fourth Proportional to 392.07, 541.07 and 226.31

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Solution

The fourth proportional to 392.07, 541.07 and 226.31 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.07 : 541.07 = 226.31 : x
  2. Step 2: Convert to fraction form
    392.07/541.07 = 226.31/x
  3. Step 3: Cross multiply
    392.07x = 541.07 × 226.31
  4. Step 4: Simplify right side
    392.07x = 122,445.71
  5. Step 5: Solve for x
    x = 122,445.71/392.07
  6. Step 6: Final answer
    x = 312.31

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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.