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Finding the Fourth Proportional to 508.20, 762.80 and 264.92

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Solution

The fourth proportional to 508.20, 762.80 and 264.92 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 762.80 = 264.92 : x
  2. Step 2: Convert to fraction form
    508.20/762.80 = 264.92/x
  3. Step 3: Cross multiply
    508.20x = 762.80 × 264.92
  4. Step 4: Simplify right side
    508.20x = 202,080.98
  5. Step 5: Solve for x
    x = 202,080.98/508.20
  6. Step 6: Final answer
    x = 397.64

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