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Finding the Fourth Proportional to 385.08, 576.84 and 282.63

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Solution

The fourth proportional to 385.08, 576.84 and 282.63 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 576.84 = 282.63 : x
  2. Step 2: Convert to fraction form
    385.08/576.84 = 282.63/x
  3. Step 3: Cross multiply
    385.08x = 576.84 × 282.63
  4. Step 4: Simplify right side
    385.08x = 163,032.29
  5. Step 5: Solve for x
    x = 163,032.29/385.08
  6. Step 6: Final answer
    x = 423.37

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