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Finding the Fourth Proportional to 493.83, 740.54 and 185.63

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Solution

The fourth proportional to 493.83, 740.54 and 185.63 is: 278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.83 : 740.54 = 185.63 : x
  2. Step 2: Convert to fraction form
    493.83/740.54 = 185.63/x
  3. Step 3: Cross multiply
    493.83x = 740.54 × 185.63
  4. Step 4: Simplify right side
    493.83x = 137,463.20
  5. Step 5: Solve for x
    x = 137,463.20/493.83
  6. Step 6: Final answer
    x = 278.36

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