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Finding the Fourth Proportional to 392.42, 541.53 and 226.64

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Solution

The fourth proportional to 392.42, 541.53 and 226.64 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 541.53 = 226.64 : x
  2. Step 2: Convert to fraction form
    392.42/541.53 = 226.64/x
  3. Step 3: Cross multiply
    392.42x = 541.53 × 226.64
  4. Step 4: Simplify right side
    392.42x = 122,729.65
  5. Step 5: Solve for x
    x = 122,729.65/392.42
  6. Step 6: Final answer
    x = 312.75

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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.