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Finding the Fourth Proportional to 530.85, 795.97 and 205.84

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Solution

The fourth proportional to 530.85, 795.97 and 205.84 is: 308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.85 : 795.97 = 205.84 : x
  2. Step 2: Convert to fraction form
    530.85/795.97 = 205.84/x
  3. Step 3: Cross multiply
    530.85x = 795.97 × 205.84
  4. Step 4: Simplify right side
    530.85x = 163,843.26
  5. Step 5: Solve for x
    x = 163,843.26/530.85
  6. Step 6: Final answer
    x = 308.64

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