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Finding the Fourth Proportional to 442, 663.68 and 420.08

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Solution

The fourth proportional to 442, 663.68 and 420.08 is: 630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 663.68 = 420.08 : x
  2. Step 2: Convert to fraction form
    442/663.68 = 420.08/x
  3. Step 3: Cross multiply
    442x = 663.68 × 420.08
  4. Step 4: Simplify right side
    442x = 278,798.69
  5. Step 5: Solve for x
    x = 278,798.69/442
  6. Step 6: Final answer
    x = 630.77

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