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Finding the Fourth Proportional to 742.86, 1,114.42 and 255.80

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Solution

The fourth proportional to 742.86, 1,114.42 and 255.80 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.86 : 1,114.42 = 255.80 : x
  2. Step 2: Convert to fraction form
    742.86/1,114.42 = 255.80/x
  3. Step 3: Cross multiply
    742.86x = 1,114.42 × 255.80
  4. Step 4: Simplify right side
    742.86x = 285,068.64
  5. Step 5: Solve for x
    x = 285,068.64/742.86
  6. Step 6: Final answer
    x = 383.74

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