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Finding the Fourth Proportional to 460.56, 689.76 and 338.28

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Solution

The fourth proportional to 460.56, 689.76 and 338.28 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 689.76 = 338.28 : x
  2. Step 2: Convert to fraction form
    460.56/689.76 = 338.28/x
  3. Step 3: Cross multiply
    460.56x = 689.76 × 338.28
  4. Step 4: Simplify right side
    460.56x = 233,332.01
  5. Step 5: Solve for x
    x = 233,332.01/460.56
  6. Step 6: Final answer
    x = 506.63

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