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Finding the Fourth Proportional to 380, 569.70 and 197.42

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Solution

The fourth proportional to 380, 569.70 and 197.42 is: 295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 569.70 = 197.42 : x
  2. Step 2: Convert to fraction form
    380/569.70 = 197.42/x
  3. Step 3: Cross multiply
    380x = 569.70 × 197.42
  4. Step 4: Simplify right side
    380x = 112,470.17
  5. Step 5: Solve for x
    x = 112,470.17/380
  6. Step 6: Final answer
    x = 295.97

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