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Finding the Fourth Proportional to 458.78, 688.24 and 150.56

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Solution

The fourth proportional to 458.78, 688.24 and 150.56 is: 225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 688.24 = 150.56 : x
  2. Step 2: Convert to fraction form
    458.78/688.24 = 150.56/x
  3. Step 3: Cross multiply
    458.78x = 688.24 × 150.56
  4. Step 4: Simplify right side
    458.78x = 103,623.46
  5. Step 5: Solve for x
    x = 103,623.46/458.78
  6. Step 6: Final answer
    x = 225.87

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