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Finding the Fourth Proportional to 905.20, 1,357.72 and 255.96

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Solution

The fourth proportional to 905.20, 1,357.72 and 255.96 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,357.72 = 255.96 : x
  2. Step 2: Convert to fraction form
    905.20/1,357.72 = 255.96/x
  3. Step 3: Cross multiply
    905.20x = 1,357.72 × 255.96
  4. Step 4: Simplify right side
    905.20x = 347,522.01
  5. Step 5: Solve for x
    x = 347,522.01/905.20
  6. Step 6: Final answer
    x = 383.92

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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.