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Finding the Fourth Proportional to 393.85, 590.32 and 198.79

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Solution

The fourth proportional to 393.85, 590.32 and 198.79 is: 297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.85 : 590.32 = 198.79 : x
  2. Step 2: Convert to fraction form
    393.85/590.32 = 198.79/x
  3. Step 3: Cross multiply
    393.85x = 590.32 × 198.79
  4. Step 4: Simplify right side
    393.85x = 117,349.71
  5. Step 5: Solve for x
    x = 117,349.71/393.85
  6. Step 6: Final answer
    x = 297.96

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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.