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Finding the Fourth Proportional to 565.08, 780.14 and 358.36

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Solution

The fourth proportional to 565.08, 780.14 and 358.36 is: 494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 780.14 = 358.36 : x
  2. Step 2: Convert to fraction form
    565.08/780.14 = 358.36/x
  3. Step 3: Cross multiply
    565.08x = 780.14 × 358.36
  4. Step 4: Simplify right side
    565.08x = 279,570.97
  5. Step 5: Solve for x
    x = 279,570.97/565.08
  6. Step 6: Final answer
    x = 494.75

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