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Finding the Fourth Proportional to 596.34, 894.51 and 185.43

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Solution

The fourth proportional to 596.34, 894.51 and 185.43 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 894.51 = 185.43 : x
  2. Step 2: Convert to fraction form
    596.34/894.51 = 185.43/x
  3. Step 3: Cross multiply
    596.34x = 894.51 × 185.43
  4. Step 4: Simplify right side
    596.34x = 165,872.34
  5. Step 5: Solve for x
    x = 165,872.34/596.34
  6. Step 6: Final answer
    x = 278.15

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