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Finding the Fourth Proportional to 406.78, 561.53 and 297.09

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Solution

The fourth proportional to 406.78, 561.53 and 297.09 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 561.53 = 297.09 : x
  2. Step 2: Convert to fraction form
    406.78/561.53 = 297.09/x
  3. Step 3: Cross multiply
    406.78x = 561.53 × 297.09
  4. Step 4: Simplify right side
    406.78x = 166,824.95
  5. Step 5: Solve for x
    x = 166,824.95/406.78
  6. Step 6: Final answer
    x = 410.11

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