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Finding the Fourth Proportional to 497.80, 746.68 and 205.30

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Solution

The fourth proportional to 497.80, 746.68 and 205.30 is: 307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.80 : 746.68 = 205.30 : x
  2. Step 2: Convert to fraction form
    497.80/746.68 = 205.30/x
  3. Step 3: Cross multiply
    497.80x = 746.68 × 205.30
  4. Step 4: Simplify right side
    497.80x = 153,293.40
  5. Step 5: Solve for x
    x = 153,293.40/497.80
  6. Step 6: Final answer
    x = 307.94

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