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Finding the Fourth Proportional to 380.96, 570.96 and 188.64

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Solution

The fourth proportional to 380.96, 570.96 and 188.64 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 570.96 = 188.64 : x
  2. Step 2: Convert to fraction form
    380.96/570.96 = 188.64/x
  3. Step 3: Cross multiply
    380.96x = 570.96 × 188.64
  4. Step 4: Simplify right side
    380.96x = 107,705.89
  5. Step 5: Solve for x
    x = 107,705.89/380.96
  6. Step 6: Final answer
    x = 282.72

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