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Finding the Fourth Proportional to 494.12, 740.91 and 288.75

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Solution

The fourth proportional to 494.12, 740.91 and 288.75 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 740.91 = 288.75 : x
  2. Step 2: Convert to fraction form
    494.12/740.91 = 288.75/x
  3. Step 3: Cross multiply
    494.12x = 740.91 × 288.75
  4. Step 4: Simplify right side
    494.12x = 213,941.62
  5. Step 5: Solve for x
    x = 213,941.62/494.12
  6. Step 6: Final answer
    x = 432.97

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