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Finding the Fourth Proportional to 586.35, 878.68 and 278.04

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Solution

The fourth proportional to 586.35, 878.68 and 278.04 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.35 : 878.68 = 278.04 : x
  2. Step 2: Convert to fraction form
    586.35/878.68 = 278.04/x
  3. Step 3: Cross multiply
    586.35x = 878.68 × 278.04
  4. Step 4: Simplify right side
    586.35x = 244,308.19
  5. Step 5: Solve for x
    x = 244,308.19/586.35
  6. Step 6: Final answer
    x = 416.66

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