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Finding the Fourth Proportional to 764.71, 1,146.84 and 277.63

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Solution

The fourth proportional to 764.71, 1,146.84 and 277.63 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.71 : 1,146.84 = 277.63 : x
  2. Step 2: Convert to fraction form
    764.71/1,146.84 = 277.63/x
  3. Step 3: Cross multiply
    764.71x = 1,146.84 × 277.63
  4. Step 4: Simplify right side
    764.71x = 318,397.19
  5. Step 5: Solve for x
    x = 318,397.19/764.71
  6. Step 6: Final answer
    x = 416.36

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