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Finding the Fourth Proportional to 493.98, 740.89 and 185.82

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Solution

The fourth proportional to 493.98, 740.89 and 185.82 is: 278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.98 : 740.89 = 185.82 : x
  2. Step 2: Convert to fraction form
    493.98/740.89 = 185.82/x
  3. Step 3: Cross multiply
    493.98x = 740.89 × 185.82
  4. Step 4: Simplify right side
    493.98x = 137,672.18
  5. Step 5: Solve for x
    x = 137,672.18/493.98
  6. Step 6: Final answer
    x = 278.70

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