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Finding the Fourth Proportional to 385.83, 578.75 and 97.25

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Solution

The fourth proportional to 385.83, 578.75 and 97.25 is: 145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.83 : 578.75 = 97.25 : x
  2. Step 2: Convert to fraction form
    385.83/578.75 = 97.25/x
  3. Step 3: Cross multiply
    385.83x = 578.75 × 97.25
  4. Step 4: Simplify right side
    385.83x = 56,280.06
  5. Step 5: Solve for x
    x = 56,280.06/385.83
  6. Step 6: Final answer
    x = 145.87

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