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Finding the Fourth Proportional to 421, 580.40 and 296.80

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Solution

The fourth proportional to 421, 580.40 and 296.80 is: 409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 580.40 = 296.80 : x
  2. Step 2: Convert to fraction form
    421/580.40 = 296.80/x
  3. Step 3: Cross multiply
    421x = 580.40 × 296.80
  4. Step 4: Simplify right side
    421x = 172,262.72
  5. Step 5: Solve for x
    x = 172,262.72/421
  6. Step 6: Final answer
    x = 409.18

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