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Finding the Fourth Proportional to 397.32, 595.78 and 137.24

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Solution

The fourth proportional to 397.32, 595.78 and 137.24 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.32 : 595.78 = 137.24 : x
  2. Step 2: Convert to fraction form
    397.32/595.78 = 137.24/x
  3. Step 3: Cross multiply
    397.32x = 595.78 × 137.24
  4. Step 4: Simplify right side
    397.32x = 81,764.85
  5. Step 5: Solve for x
    x = 81,764.85/397.32
  6. Step 6: Final answer
    x = 205.79

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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.