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Finding the Fourth Proportional to 905.08, 1,357.67 and 255.86

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Solution

The fourth proportional to 905.08, 1,357.67 and 255.86 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.08 : 1,357.67 = 255.86 : x
  2. Step 2: Convert to fraction form
    905.08/1,357.67 = 255.86/x
  3. Step 3: Cross multiply
    905.08x = 1,357.67 × 255.86
  4. Step 4: Simplify right side
    905.08x = 347,375.56
  5. Step 5: Solve for x
    x = 347,375.56/905.08
  6. Step 6: Final answer
    x = 383.81

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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.