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Finding the Fourth Proportional to 289.92, 399.12 and 238.08

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Solution

The fourth proportional to 289.92, 399.12 and 238.08 is: 327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.92 : 399.12 = 238.08 : x
  2. Step 2: Convert to fraction form
    289.92/399.12 = 238.08/x
  3. Step 3: Cross multiply
    289.92x = 399.12 × 238.08
  4. Step 4: Simplify right side
    289.92x = 95,022.49
  5. Step 5: Solve for x
    x = 95,022.49/289.92
  6. Step 6: Final answer
    x = 327.75

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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.