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Finding the Fourth Proportional to 384.81, 529.65 and 338.31

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Solution

The fourth proportional to 384.81, 529.65 and 338.31 is: 465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.81 : 529.65 = 338.31 : x
  2. Step 2: Convert to fraction form
    384.81/529.65 = 338.31/x
  3. Step 3: Cross multiply
    384.81x = 529.65 × 338.31
  4. Step 4: Simplify right side
    384.81x = 179,185.89
  5. Step 5: Solve for x
    x = 179,185.89/384.81
  6. Step 6: Final answer
    x = 465.65

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