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Finding the Fourth Proportional to 318.42, 479.30 and 227.75

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Solution

The fourth proportional to 318.42, 479.30 and 227.75 is: 342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.42 : 479.30 = 227.75 : x
  2. Step 2: Convert to fraction form
    318.42/479.30 = 227.75/x
  3. Step 3: Cross multiply
    318.42x = 479.30 × 227.75
  4. Step 4: Simplify right side
    318.42x = 109,157.04
  5. Step 5: Solve for x
    x = 109,157.04/318.42
  6. Step 6: Final answer
    x = 342.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.