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Finding the Fourth Proportional to 1,600.43, 2,400.62 and 446.18

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Solution

The fourth proportional to 1,600.43, 2,400.62 and 446.18 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.43 : 2,400.62 = 446.18 : x
  2. Step 2: Convert to fraction form
    1,600.43/2,400.62 = 446.18/x
  3. Step 3: Cross multiply
    1,600.43x = 2,400.62 × 446.18
  4. Step 4: Simplify right side
    1,600.43x = 1,071,094.40
  5. Step 5: Solve for x
    x = 1,071,094.40/1,600.43
  6. Step 6: Final answer
    x = 669.26

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