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Finding the Fourth Proportional to 406.92, 560.52 and 296.08

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Solution

The fourth proportional to 406.92, 560.52 and 296.08 is: 407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.92 : 560.52 = 296.08 : x
  2. Step 2: Convert to fraction form
    406.92/560.52 = 296.08/x
  3. Step 3: Cross multiply
    406.92x = 560.52 × 296.08
  4. Step 4: Simplify right side
    406.92x = 165,958.76
  5. Step 5: Solve for x
    x = 165,958.76/406.92
  6. Step 6: Final answer
    x = 407.84

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