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Finding the Fourth Proportional to 459.82, 689.32 and 185.86

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Solution

The fourth proportional to 459.82, 689.32 and 185.86 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.82 : 689.32 = 185.86 : x
  2. Step 2: Convert to fraction form
    459.82/689.32 = 185.86/x
  3. Step 3: Cross multiply
    459.82x = 689.32 × 185.86
  4. Step 4: Simplify right side
    459.82x = 128,112.64
  5. Step 5: Solve for x
    x = 128,112.64/459.82
  6. Step 6: Final answer
    x = 278.62

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