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Finding the Fourth Proportional to 307.74, 460.98 and 256.21

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Solution

The fourth proportional to 307.74, 460.98 and 256.21 is: 383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 460.98 = 256.21 : x
  2. Step 2: Convert to fraction form
    307.74/460.98 = 256.21/x
  3. Step 3: Cross multiply
    307.74x = 460.98 × 256.21
  4. Step 4: Simplify right side
    307.74x = 118,107.69
  5. Step 5: Solve for x
    x = 118,107.69/307.74
  6. Step 6: Final answer
    x = 383.79

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