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Finding the Fourth Proportional to 385.02, 577.86 and 202.32

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Solution

The fourth proportional to 385.02, 577.86 and 202.32 is: 303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 577.86 = 202.32 : x
  2. Step 2: Convert to fraction form
    385.02/577.86 = 202.32/x
  3. Step 3: Cross multiply
    385.02x = 577.86 × 202.32
  4. Step 4: Simplify right side
    385.02x = 116,912.64
  5. Step 5: Solve for x
    x = 116,912.64/385.02
  6. Step 6: Final answer
    x = 303.65

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