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Finding the Fourth Proportional to 975.78, 1,463.20 and 359.06

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Solution

The fourth proportional to 975.78, 1,463.20 and 359.06 is: 538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,463.20 = 359.06 : x
  2. Step 2: Convert to fraction form
    975.78/1,463.20 = 359.06/x
  3. Step 3: Cross multiply
    975.78x = 1,463.20 × 359.06
  4. Step 4: Simplify right side
    975.78x = 525,376.59
  5. Step 5: Solve for x
    x = 525,376.59/975.78
  6. Step 6: Final answer
    x = 538.42

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