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Finding the Fourth Proportional to 419.23, 628.62 and 282.34

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Solution

The fourth proportional to 419.23, 628.62 and 282.34 is: 423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.23 : 628.62 = 282.34 : x
  2. Step 2: Convert to fraction form
    419.23/628.62 = 282.34/x
  3. Step 3: Cross multiply
    419.23x = 628.62 × 282.34
  4. Step 4: Simplify right side
    419.23x = 177,484.57
  5. Step 5: Solve for x
    x = 177,484.57/419.23
  6. Step 6: Final answer
    x = 423.36

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