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Finding the Fourth Proportional to 459.20, 688.85 and 185.25

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Solution

The fourth proportional to 459.20, 688.85 and 185.25 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 688.85 = 185.25 : x
  2. Step 2: Convert to fraction form
    459.20/688.85 = 185.25/x
  3. Step 3: Cross multiply
    459.20x = 688.85 × 185.25
  4. Step 4: Simplify right side
    459.20x = 127,609.93
  5. Step 5: Solve for x
    x = 127,609.93/459.20
  6. Step 6: Final answer
    x = 277.89

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