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Finding the Fourth Proportional to 905.14, 1,357.73 and 255.86

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Solution

The fourth proportional to 905.14, 1,357.73 and 255.86 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.14 : 1,357.73 = 255.86 : x
  2. Step 2: Convert to fraction form
    905.14/1,357.73 = 255.86/x
  3. Step 3: Cross multiply
    905.14x = 1,357.73 × 255.86
  4. Step 4: Simplify right side
    905.14x = 347,386.78
  5. Step 5: Solve for x
    x = 347,386.78/905.14
  6. Step 6: Final answer
    x = 383.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.