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Finding the Fourth Proportional to 586, 878.68 and 380.64

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Solution

The fourth proportional to 586, 878.68 and 380.64 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 878.68 = 380.64 : x
  2. Step 2: Convert to fraction form
    586/878.68 = 380.64/x
  3. Step 3: Cross multiply
    586x = 878.68 × 380.64
  4. Step 4: Simplify right side
    586x = 334,460.76
  5. Step 5: Solve for x
    x = 334,460.76/586
  6. Step 6: Final answer
    x = 570.75

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