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Finding the Fourth Proportional to 278.40, 417.58 and 72.96

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Solution

The fourth proportional to 278.40, 417.58 and 72.96 is: 109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 417.58 = 72.96 : x
  2. Step 2: Convert to fraction form
    278.40/417.58 = 72.96/x
  3. Step 3: Cross multiply
    278.40x = 417.58 × 72.96
  4. Step 4: Simplify right side
    278.40x = 30,466.64
  5. Step 5: Solve for x
    x = 30,466.64/278.40
  6. Step 6: Final answer
    x = 109.43

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