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Finding the Fourth Proportional to 509.74, 763.92 and 327.04

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Solution

The fourth proportional to 509.74, 763.92 and 327.04 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 763.92 = 327.04 : x
  2. Step 2: Convert to fraction form
    509.74/763.92 = 327.04/x
  3. Step 3: Cross multiply
    509.74x = 763.92 × 327.04
  4. Step 4: Simplify right side
    509.74x = 249,832.40
  5. Step 5: Solve for x
    x = 249,832.40/509.74
  6. Step 6: Final answer
    x = 490.12

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