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Finding the Fourth Proportional to 509.76, 763.64 and 265.96

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Solution

The fourth proportional to 509.76, 763.64 and 265.96 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 763.64 = 265.96 : x
  2. Step 2: Convert to fraction form
    509.76/763.64 = 265.96/x
  3. Step 3: Cross multiply
    509.76x = 763.64 × 265.96
  4. Step 4: Simplify right side
    509.76x = 203,097.69
  5. Step 5: Solve for x
    x = 203,097.69/509.76
  6. Step 6: Final answer
    x = 398.42

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