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Finding the Fourth Proportional to 393.86, 589.99 and 198.59

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Solution

The fourth proportional to 393.86, 589.99 and 198.59 is: 297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.86 : 589.99 = 198.59 : x
  2. Step 2: Convert to fraction form
    393.86/589.99 = 198.59/x
  3. Step 3: Cross multiply
    393.86x = 589.99 × 198.59
  4. Step 4: Simplify right side
    393.86x = 117,162.76
  5. Step 5: Solve for x
    x = 117,162.76/393.86
  6. Step 6: Final answer
    x = 297.48

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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.