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Finding the Fourth Proportional to 576.38, 862.95 and 518.06

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Solution

The fourth proportional to 576.38, 862.95 and 518.06 is: 775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 862.95 = 518.06 : x
  2. Step 2: Convert to fraction form
    576.38/862.95 = 518.06/x
  3. Step 3: Cross multiply
    576.38x = 862.95 × 518.06
  4. Step 4: Simplify right side
    576.38x = 447,059.88
  5. Step 5: Solve for x
    x = 447,059.88/576.38
  6. Step 6: Final answer
    x = 775.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.