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Finding the Fourth Proportional to 278, 383.40 and 233.84

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Solution

The fourth proportional to 278, 383.40 and 233.84 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 383.40 = 233.84 : x
  2. Step 2: Convert to fraction form
    278/383.40 = 233.84/x
  3. Step 3: Cross multiply
    278x = 383.40 × 233.84
  4. Step 4: Simplify right side
    278x = 89,654.26
  5. Step 5: Solve for x
    x = 89,654.26/278
  6. Step 6: Final answer
    x = 322.50

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