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Finding the Fourth Proportional to 380.66, 570.99 and 152.82

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Solution

The fourth proportional to 380.66, 570.99 and 152.82 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.66 : 570.99 = 152.82 : x
  2. Step 2: Convert to fraction form
    380.66/570.99 = 152.82/x
  3. Step 3: Cross multiply
    380.66x = 570.99 × 152.82
  4. Step 4: Simplify right side
    380.66x = 87,258.69
  5. Step 5: Solve for x
    x = 87,258.69/380.66
  6. Step 6: Final answer
    x = 229.23

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