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Finding the Fourth Proportional to 392.51, 541.67 and 226.76

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Solution

The fourth proportional to 392.51, 541.67 and 226.76 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.51 : 541.67 = 226.76 : x
  2. Step 2: Convert to fraction form
    392.51/541.67 = 226.76/x
  3. Step 3: Cross multiply
    392.51x = 541.67 × 226.76
  4. Step 4: Simplify right side
    392.51x = 122,825.25
  5. Step 5: Solve for x
    x = 122,825.25/392.51
  6. Step 6: Final answer
    x = 312.93

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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.