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Finding the Fourth Proportional to 523.74, 785.66 and 158.53

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Solution

The fourth proportional to 523.74, 785.66 and 158.53 is: 237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.66 = 158.53 : x
  2. Step 2: Convert to fraction form
    523.74/785.66 = 158.53/x
  3. Step 3: Cross multiply
    523.74x = 785.66 × 158.53
  4. Step 4: Simplify right side
    523.74x = 124,550.68
  5. Step 5: Solve for x
    x = 124,550.68/523.74
  6. Step 6: Final answer
    x = 237.81

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