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Finding the Fourth Proportional to 497.94, 746.73 and 189.78

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Solution

The fourth proportional to 497.94, 746.73 and 189.78 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.94 : 746.73 = 189.78 : x
  2. Step 2: Convert to fraction form
    497.94/746.73 = 189.78/x
  3. Step 3: Cross multiply
    497.94x = 746.73 × 189.78
  4. Step 4: Simplify right side
    497.94x = 141,714.42
  5. Step 5: Solve for x
    x = 141,714.42/497.94
  6. Step 6: Final answer
    x = 284.60

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