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Finding the Fourth Proportional to 390.26, 538.48 and 296.84

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Solution

The fourth proportional to 390.26, 538.48 and 296.84 is: 409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.26 : 538.48 = 296.84 : x
  2. Step 2: Convert to fraction form
    390.26/538.48 = 296.84/x
  3. Step 3: Cross multiply
    390.26x = 538.48 × 296.84
  4. Step 4: Simplify right side
    390.26x = 159,844.12
  5. Step 5: Solve for x
    x = 159,844.12/390.26
  6. Step 6: Final answer
    x = 409.58

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