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Finding the Fourth Proportional to 364.80, 546.72 and 278.88

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Solution

The fourth proportional to 364.80, 546.72 and 278.88 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 546.72 = 278.88 : x
  2. Step 2: Convert to fraction form
    364.80/546.72 = 278.88/x
  3. Step 3: Cross multiply
    364.80x = 546.72 × 278.88
  4. Step 4: Simplify right side
    364.80x = 152,469.27
  5. Step 5: Solve for x
    x = 152,469.27/364.80
  6. Step 6: Final answer
    x = 417.95

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