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Finding the Fourth Proportional to 419.76, 579.47 and 278.06

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Solution

The fourth proportional to 419.76, 579.47 and 278.06 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.47 = 278.06 : x
  2. Step 2: Convert to fraction form
    419.76/579.47 = 278.06/x
  3. Step 3: Cross multiply
    419.76x = 579.47 × 278.06
  4. Step 4: Simplify right side
    419.76x = 161,123.14
  5. Step 5: Solve for x
    x = 161,123.14/419.76
  6. Step 6: Final answer
    x = 383.85

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