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Finding the Fourth Proportional to 380.47, 570.71 and 91.91

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Solution

The fourth proportional to 380.47, 570.71 and 91.91 is: 137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 570.71 = 91.91 : x
  2. Step 2: Convert to fraction form
    380.47/570.71 = 91.91/x
  3. Step 3: Cross multiply
    380.47x = 570.71 × 91.91
  4. Step 4: Simplify right side
    380.47x = 52,450.64
  5. Step 5: Solve for x
    x = 52,450.64/380.47
  6. Step 6: Final answer
    x = 137.86

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