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Finding the Fourth Proportional to 508.20, 760.68 and 264.39

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Solution

The fourth proportional to 508.20, 760.68 and 264.39 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 760.68 = 264.39 : x
  2. Step 2: Convert to fraction form
    508.20/760.68 = 264.39/x
  3. Step 3: Cross multiply
    508.20x = 760.68 × 264.39
  4. Step 4: Simplify right side
    508.20x = 201,116.19
  5. Step 5: Solve for x
    x = 201,116.19/508.20
  6. Step 6: Final answer
    x = 395.74

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