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Finding the Fourth Proportional to 395.72, 546.12 and 238.37

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Solution

The fourth proportional to 395.72, 546.12 and 238.37 is: 328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 546.12 = 238.37 : x
  2. Step 2: Convert to fraction form
    395.72/546.12 = 238.37/x
  3. Step 3: Cross multiply
    395.72x = 546.12 × 238.37
  4. Step 4: Simplify right side
    395.72x = 130,177.43
  5. Step 5: Solve for x
    x = 130,177.43/395.72
  6. Step 6: Final answer
    x = 328.97

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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.