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Finding the Fourth Proportional to 497.23, 745.71 and 253.60

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Solution

The fourth proportional to 497.23, 745.71 and 253.60 is: 380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 745.71 = 253.60 : x
  2. Step 2: Convert to fraction form
    497.23/745.71 = 253.60/x
  3. Step 3: Cross multiply
    497.23x = 745.71 × 253.60
  4. Step 4: Simplify right side
    497.23x = 189,112.06
  5. Step 5: Solve for x
    x = 189,112.06/497.23
  6. Step 6: Final answer
    x = 380.33

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