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Finding the Fourth Proportional to 395.85, 593.90 and 239.85

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Solution

The fourth proportional to 395.85, 593.90 and 239.85 is: 359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.85 : 593.90 = 239.85 : x
  2. Step 2: Convert to fraction form
    395.85/593.90 = 239.85/x
  3. Step 3: Cross multiply
    395.85x = 593.90 × 239.85
  4. Step 4: Simplify right side
    395.85x = 142,445.72
  5. Step 5: Solve for x
    x = 142,445.72/395.85
  6. Step 6: Final answer
    x = 359.85

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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.