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Finding the Fourth Proportional to 856.04, 1,284.18 and 278.78

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Solution

The fourth proportional to 856.04, 1,284.18 and 278.78 is: 418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,284.18 = 278.78 : x
  2. Step 2: Convert to fraction form
    856.04/1,284.18 = 278.78/x
  3. Step 3: Cross multiply
    856.04x = 1,284.18 × 278.78
  4. Step 4: Simplify right side
    856.04x = 358,003.70
  5. Step 5: Solve for x
    x = 358,003.70/856.04
  6. Step 6: Final answer
    x = 418.21

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