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Finding the Fourth Proportional to 510.78, 766.87 and 264.19

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Solution

The fourth proportional to 510.78, 766.87 and 264.19 is: 396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 766.87 = 264.19 : x
  2. Step 2: Convert to fraction form
    510.78/766.87 = 264.19/x
  3. Step 3: Cross multiply
    510.78x = 766.87 × 264.19
  4. Step 4: Simplify right side
    510.78x = 202,599.39
  5. Step 5: Solve for x
    x = 202,599.39/510.78
  6. Step 6: Final answer
    x = 396.65

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