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Finding the Fourth Proportional to 393.45, 590.33 and 198.63

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Solution

The fourth proportional to 393.45, 590.33 and 198.63 is: 298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.45 : 590.33 = 198.63 : x
  2. Step 2: Convert to fraction form
    393.45/590.33 = 198.63/x
  3. Step 3: Cross multiply
    393.45x = 590.33 × 198.63
  4. Step 4: Simplify right side
    393.45x = 117,257.25
  5. Step 5: Solve for x
    x = 117,257.25/393.45
  6. Step 6: Final answer
    x = 298.02

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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.