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Finding the Fourth Proportional to 505.76, 758.84 and 197.71

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Solution

The fourth proportional to 505.76, 758.84 and 197.71 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.76 : 758.84 = 197.71 : x
  2. Step 2: Convert to fraction form
    505.76/758.84 = 197.71/x
  3. Step 3: Cross multiply
    505.76x = 758.84 × 197.71
  4. Step 4: Simplify right side
    505.76x = 150,030.26
  5. Step 5: Solve for x
    x = 150,030.26/505.76
  6. Step 6: Final answer
    x = 296.64

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