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Finding the Fourth Proportional to 947.04, 1,420.64 and 399.16

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Solution

The fourth proportional to 947.04, 1,420.64 and 399.16 is: 598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,420.64 = 399.16 : x
  2. Step 2: Convert to fraction form
    947.04/1,420.64 = 399.16/x
  3. Step 3: Cross multiply
    947.04x = 1,420.64 × 399.16
  4. Step 4: Simplify right side
    947.04x = 567,062.66
  5. Step 5: Solve for x
    x = 567,062.66/947.04
  6. Step 6: Final answer
    x = 598.77

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