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Finding the Fourth Proportional to 493.92, 740.32 and 205

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Solution

The fourth proportional to 493.92, 740.32 and 205 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 740.32 = 205 : x
  2. Step 2: Convert to fraction form
    493.92/740.32 = 205/x
  3. Step 3: Cross multiply
    493.92x = 740.32 × 205
  4. Step 4: Simplify right side
    493.92x = 151,765.60
  5. Step 5: Solve for x
    x = 151,765.60/493.92
  6. Step 6: Final answer
    x = 307.27

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