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Finding the Fourth Proportional to 565.24, 779.79 and 368.78

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Solution

The fourth proportional to 565.24, 779.79 and 368.78 is: 508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 779.79 = 368.78 : x
  2. Step 2: Convert to fraction form
    565.24/779.79 = 368.78/x
  3. Step 3: Cross multiply
    565.24x = 779.79 × 368.78
  4. Step 4: Simplify right side
    565.24x = 287,570.96
  5. Step 5: Solve for x
    x = 287,570.96/565.24
  6. Step 6: Final answer
    x = 508.76

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