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Finding the Fourth Proportional to 605.74, 906.45 and 524.86

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Solution

The fourth proportional to 605.74, 906.45 and 524.86 is: 785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.74 : 906.45 = 524.86 : x
  2. Step 2: Convert to fraction form
    605.74/906.45 = 524.86/x
  3. Step 3: Cross multiply
    605.74x = 906.45 × 524.86
  4. Step 4: Simplify right side
    605.74x = 475,759.35
  5. Step 5: Solve for x
    x = 475,759.35/605.74
  6. Step 6: Final answer
    x = 785.42

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