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Finding the Fourth Proportional to 459.14, 688.44 and 185.24

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Solution

The fourth proportional to 459.14, 688.44 and 185.24 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 688.44 = 185.24 : x
  2. Step 2: Convert to fraction form
    459.14/688.44 = 185.24/x
  3. Step 3: Cross multiply
    459.14x = 688.44 × 185.24
  4. Step 4: Simplify right side
    459.14x = 127,526.63
  5. Step 5: Solve for x
    x = 127,526.63/459.14
  6. Step 6: Final answer
    x = 277.75

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