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Finding the Fourth Proportional to 392.40, 541.46 and 226.58

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Solution

The fourth proportional to 392.40, 541.46 and 226.58 is: 312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 541.46 = 226.58 : x
  2. Step 2: Convert to fraction form
    392.40/541.46 = 226.58/x
  3. Step 3: Cross multiply
    392.40x = 541.46 × 226.58
  4. Step 4: Simplify right side
    392.40x = 122,684.01
  5. Step 5: Solve for x
    x = 122,684.01/392.40
  6. Step 6: Final answer
    x = 312.65

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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.