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Finding the Fourth Proportional to 459.72, 689.58 and 185.88

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Solution

The fourth proportional to 459.72, 689.58 and 185.88 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 689.58 = 185.88 : x
  2. Step 2: Convert to fraction form
    459.72/689.58 = 185.88/x
  3. Step 3: Cross multiply
    459.72x = 689.58 × 185.88
  4. Step 4: Simplify right side
    459.72x = 128,179.13
  5. Step 5: Solve for x
    x = 128,179.13/459.72
  6. Step 6: Final answer
    x = 278.82

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