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Finding the Fourth Proportional to 468.16, 701.85 and 259.91

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Solution

The fourth proportional to 468.16, 701.85 and 259.91 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 701.85 = 259.91 : x
  2. Step 2: Convert to fraction form
    468.16/701.85 = 259.91/x
  3. Step 3: Cross multiply
    468.16x = 701.85 × 259.91
  4. Step 4: Simplify right side
    468.16x = 182,419.59
  5. Step 5: Solve for x
    x = 182,419.59/468.16
  6. Step 6: Final answer
    x = 389.65

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