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Finding the Fourth Proportional to 495.75, 742.43 and 289.71

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Solution

The fourth proportional to 495.75, 742.43 and 289.71 is: 433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 742.43 = 289.71 : x
  2. Step 2: Convert to fraction form
    495.75/742.43 = 289.71/x
  3. Step 3: Cross multiply
    495.75x = 742.43 × 289.71
  4. Step 4: Simplify right side
    495.75x = 215,090.12
  5. Step 5: Solve for x
    x = 215,090.12/495.75
  6. Step 6: Final answer
    x = 433.86

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