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Finding the Fourth Proportional to 380.74, 569.81 and 264.91

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Solution

The fourth proportional to 380.74, 569.81 and 264.91 is: 396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.74 : 569.81 = 264.91 : x
  2. Step 2: Convert to fraction form
    380.74/569.81 = 264.91/x
  3. Step 3: Cross multiply
    380.74x = 569.81 × 264.91
  4. Step 4: Simplify right side
    380.74x = 150,948.37
  5. Step 5: Solve for x
    x = 150,948.37/380.74
  6. Step 6: Final answer
    x = 396.46

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