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Finding the Fourth Proportional to 523.80, 785.30 and 279.99

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Solution

The fourth proportional to 523.80, 785.30 and 279.99 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 785.30 = 279.99 : x
  2. Step 2: Convert to fraction form
    523.80/785.30 = 279.99/x
  3. Step 3: Cross multiply
    523.80x = 785.30 × 279.99
  4. Step 4: Simplify right side
    523.80x = 219,874.75
  5. Step 5: Solve for x
    x = 219,874.75/523.80
  6. Step 6: Final answer
    x = 419.77

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