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Finding the Fourth Proportional to 462.56, 693.25 and 188.33

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Solution

The fourth proportional to 462.56, 693.25 and 188.33 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 693.25 = 188.33 : x
  2. Step 2: Convert to fraction form
    462.56/693.25 = 188.33/x
  3. Step 3: Cross multiply
    462.56x = 693.25 × 188.33
  4. Step 4: Simplify right side
    462.56x = 130,559.77
  5. Step 5: Solve for x
    x = 130,559.77/462.56
  6. Step 6: Final answer
    x = 282.25

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