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Finding the Fourth Proportional to 380.31, 570.35 and 123.75

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Solution

The fourth proportional to 380.31, 570.35 and 123.75 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.31 : 570.35 = 123.75 : x
  2. Step 2: Convert to fraction form
    380.31/570.35 = 123.75/x
  3. Step 3: Cross multiply
    380.31x = 570.35 × 123.75
  4. Step 4: Simplify right side
    380.31x = 70,580.19
  5. Step 5: Solve for x
    x = 70,580.19/380.31
  6. Step 6: Final answer
    x = 185.59

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