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Finding the Fourth Proportional to 420, 579.65 and 293.99

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Solution

The fourth proportional to 420, 579.65 and 293.99 is: 405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 579.65 = 293.99 : x
  2. Step 2: Convert to fraction form
    420/579.65 = 293.99/x
  3. Step 3: Cross multiply
    420x = 579.65 × 293.99
  4. Step 4: Simplify right side
    420x = 170,406.94
  5. Step 5: Solve for x
    x = 170,406.94/420
  6. Step 6: Final answer
    x = 405.73

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