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Finding the Fourth Proportional to 538.08, 807.60 and 400.80

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Solution

The fourth proportional to 538.08, 807.60 and 400.80 is: 601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 807.60 = 400.80 : x
  2. Step 2: Convert to fraction form
    538.08/807.60 = 400.80/x
  3. Step 3: Cross multiply
    538.08x = 807.60 × 400.80
  4. Step 4: Simplify right side
    538.08x = 323,686.08
  5. Step 5: Solve for x
    x = 323,686.08/538.08
  6. Step 6: Final answer
    x = 601.56

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