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Finding the Fourth Proportional to 395.93, 593.90 and 190.40

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Solution

The fourth proportional to 395.93, 593.90 and 190.40 is: 285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 593.90 = 190.40 : x
  2. Step 2: Convert to fraction form
    395.93/593.90 = 190.40/x
  3. Step 3: Cross multiply
    395.93x = 593.90 × 190.40
  4. Step 4: Simplify right side
    395.93x = 113,074.64
  5. Step 5: Solve for x
    x = 113,074.64/395.93
  6. Step 6: Final answer
    x = 285.60

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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.