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Finding the Fourth Proportional to 507.41, 760.77 and 199.07

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Solution

The fourth proportional to 507.41, 760.77 and 199.07 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.41 : 760.77 = 199.07 : x
  2. Step 2: Convert to fraction form
    507.41/760.77 = 199.07/x
  3. Step 3: Cross multiply
    507.41x = 760.77 × 199.07
  4. Step 4: Simplify right side
    507.41x = 151,442.68
  5. Step 5: Solve for x
    x = 151,442.68/507.41
  6. Step 6: Final answer
    x = 298.47

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