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Finding the Fourth Proportional to 460.74, 690.59 and 200.65

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Solution

The fourth proportional to 460.74, 690.59 and 200.65 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.74 : 690.59 = 200.65 : x
  2. Step 2: Convert to fraction form
    460.74/690.59 = 200.65/x
  3. Step 3: Cross multiply
    460.74x = 690.59 × 200.65
  4. Step 4: Simplify right side
    460.74x = 138,565.66
  5. Step 5: Solve for x
    x = 138,565.66/460.74
  6. Step 6: Final answer
    x = 300.75

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