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Finding the Fourth Proportional to 405.82, 609.00 and 149.32

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Solution

The fourth proportional to 405.82, 609.00 and 149.32 is: 224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 609.00 = 149.32 : x
  2. Step 2: Convert to fraction form
    405.82/609.00 = 149.32/x
  3. Step 3: Cross multiply
    405.82x = 609.00 × 149.32
  4. Step 4: Simplify right side
    405.82x = 90,936.35
  5. Step 5: Solve for x
    x = 90,936.35/405.82
  6. Step 6: Final answer
    x = 224.08

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