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Finding the Fourth Proportional to 307.74, 460.96 and 205.07

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Solution

The fourth proportional to 307.74, 460.96 and 205.07 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 460.96 = 205.07 : x
  2. Step 2: Convert to fraction form
    307.74/460.96 = 205.07/x
  3. Step 3: Cross multiply
    307.74x = 460.96 × 205.07
  4. Step 4: Simplify right side
    307.74x = 94,529.07
  5. Step 5: Solve for x
    x = 94,529.07/307.74
  6. Step 6: Final answer
    x = 307.17

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