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Finding the Fourth Proportional to 380.76, 570.80 and 185.64

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Solution

The fourth proportional to 380.76, 570.80 and 185.64 is: 278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 570.80 = 185.64 : x
  2. Step 2: Convert to fraction form
    380.76/570.80 = 185.64/x
  3. Step 3: Cross multiply
    380.76x = 570.80 × 185.64
  4. Step 4: Simplify right side
    380.76x = 105,962.38
  5. Step 5: Solve for x
    x = 105,962.38/380.76
  6. Step 6: Final answer
    x = 278.29

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