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Finding the Fourth Proportional to 511.62, 705.95 and 301.84

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Solution

The fourth proportional to 511.62, 705.95 and 301.84 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.62 : 705.95 = 301.84 : x
  2. Step 2: Convert to fraction form
    511.62/705.95 = 301.84/x
  3. Step 3: Cross multiply
    511.62x = 705.95 × 301.84
  4. Step 4: Simplify right side
    511.62x = 213,080.67
  5. Step 5: Solve for x
    x = 213,080.67/511.62
  6. Step 6: Final answer
    x = 416.48

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