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Finding the Fourth Proportional to 459.87, 689.86 and 151.80

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Solution

The fourth proportional to 459.87, 689.86 and 151.80 is: 227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 689.86 = 151.80 : x
  2. Step 2: Convert to fraction form
    459.87/689.86 = 151.80/x
  3. Step 3: Cross multiply
    459.87x = 689.86 × 151.80
  4. Step 4: Simplify right side
    459.87x = 104,720.75
  5. Step 5: Solve for x
    x = 104,720.75/459.87
  6. Step 6: Final answer
    x = 227.72

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