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Finding the Fourth Proportional to 513.76, 770.26 and 282.76

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Solution

The fourth proportional to 513.76, 770.26 and 282.76 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 770.26 = 282.76 : x
  2. Step 2: Convert to fraction form
    513.76/770.26 = 282.76/x
  3. Step 3: Cross multiply
    513.76x = 770.26 × 282.76
  4. Step 4: Simplify right side
    513.76x = 217,798.72
  5. Step 5: Solve for x
    x = 217,798.72/513.76
  6. Step 6: Final answer
    x = 423.93

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