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Finding the Fourth Proportional to 384.12, 575.10 and 281.40

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Solution

The fourth proportional to 384.12, 575.10 and 281.40 is: 421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 575.10 = 281.40 : x
  2. Step 2: Convert to fraction form
    384.12/575.10 = 281.40/x
  3. Step 3: Cross multiply
    384.12x = 575.10 × 281.40
  4. Step 4: Simplify right side
    384.12x = 161,833.14
  5. Step 5: Solve for x
    x = 161,833.14/384.12
  6. Step 6: Final answer
    x = 421.31

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