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Finding the Fourth Proportional to 384.78, 577.80 and 324.30

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Solution

The fourth proportional to 384.78, 577.80 and 324.30 is: 486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 577.80 = 324.30 : x
  2. Step 2: Convert to fraction form
    384.78/577.80 = 324.30/x
  3. Step 3: Cross multiply
    384.78x = 577.80 × 324.30
  4. Step 4: Simplify right side
    384.78x = 187,380.54
  5. Step 5: Solve for x
    x = 187,380.54/384.78
  6. Step 6: Final answer
    x = 486.98

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