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Finding the Fourth Proportional to 535.16, 802.38 and 205.94

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Solution

The fourth proportional to 535.16, 802.38 and 205.94 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.16 : 802.38 = 205.94 : x
  2. Step 2: Convert to fraction form
    535.16/802.38 = 205.94/x
  3. Step 3: Cross multiply
    535.16x = 802.38 × 205.94
  4. Step 4: Simplify right side
    535.16x = 165,242.14
  5. Step 5: Solve for x
    x = 165,242.14/535.16
  6. Step 6: Final answer
    x = 308.77

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