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Finding the Fourth Proportional to 459.76, 689.25 and 185.71

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Solution

The fourth proportional to 459.76, 689.25 and 185.71 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.76 : 689.25 = 185.71 : x
  2. Step 2: Convert to fraction form
    459.76/689.25 = 185.71/x
  3. Step 3: Cross multiply
    459.76x = 689.25 × 185.71
  4. Step 4: Simplify right side
    459.76x = 128,000.62
  5. Step 5: Solve for x
    x = 128,000.62/459.76
  6. Step 6: Final answer
    x = 278.41

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