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Finding the Fourth Proportional to 397.29, 595.82 and 137.28

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Solution

The fourth proportional to 397.29, 595.82 and 137.28 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 595.82 = 137.28 : x
  2. Step 2: Convert to fraction form
    397.29/595.82 = 137.28/x
  3. Step 3: Cross multiply
    397.29x = 595.82 × 137.28
  4. Step 4: Simplify right side
    397.29x = 81,792.43
  5. Step 5: Solve for x
    x = 81,792.43/397.29
  6. Step 6: Final answer
    x = 205.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.