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Finding the Fourth Proportional to 397.09, 595.68 and 137.04

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Solution

The fourth proportional to 397.09, 595.68 and 137.04 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 595.68 = 137.04 : x
  2. Step 2: Convert to fraction form
    397.09/595.68 = 137.04/x
  3. Step 3: Cross multiply
    397.09x = 595.68 × 137.04
  4. Step 4: Simplify right side
    397.09x = 81,631.99
  5. Step 5: Solve for x
    x = 81,631.99/397.09
  6. Step 6: Final answer
    x = 205.58

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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.