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Finding the Fourth Proportional to 385.41, 578.00 and 111.53

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Solution

The fourth proportional to 385.41, 578.00 and 111.53 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.41 : 578.00 = 111.53 : x
  2. Step 2: Convert to fraction form
    385.41/578.00 = 111.53/x
  3. Step 3: Cross multiply
    385.41x = 578.00 × 111.53
  4. Step 4: Simplify right side
    385.41x = 64,461.73
  5. Step 5: Solve for x
    x = 64,461.73/385.41
  6. Step 6: Final answer
    x = 167.25

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