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Finding the Fourth Proportional to 333.42, 459.90 and 209.16

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Solution

The fourth proportional to 333.42, 459.90 and 209.16 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 459.90 = 209.16 : x
  2. Step 2: Convert to fraction form
    333.42/459.90 = 209.16/x
  3. Step 3: Cross multiply
    333.42x = 459.90 × 209.16
  4. Step 4: Simplify right side
    333.42x = 96,192.68
  5. Step 5: Solve for x
    x = 96,192.68/333.42
  6. Step 6: Final answer
    x = 288.50

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