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Finding the Fourth Proportional to 507.52, 761.28 and 280.96

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Solution

The fourth proportional to 507.52, 761.28 and 280.96 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 761.28 = 280.96 : x
  2. Step 2: Convert to fraction form
    507.52/761.28 = 280.96/x
  3. Step 3: Cross multiply
    507.52x = 761.28 × 280.96
  4. Step 4: Simplify right side
    507.52x = 213,889.23
  5. Step 5: Solve for x
    x = 213,889.23/507.52
  6. Step 6: Final answer
    x = 421.44

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