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Finding the Fourth Proportional to 462.24, 693.45 and 188.36

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Solution

The fourth proportional to 462.24, 693.45 and 188.36 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 693.45 = 188.36 : x
  2. Step 2: Convert to fraction form
    462.24/693.45 = 188.36/x
  3. Step 3: Cross multiply
    462.24x = 693.45 × 188.36
  4. Step 4: Simplify right side
    462.24x = 130,614.77
  5. Step 5: Solve for x
    x = 130,614.77/462.24
  6. Step 6: Final answer
    x = 282.57

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