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Finding the Fourth Proportional to 576.56, 863.43 and 521.09

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Solution

The fourth proportional to 576.56, 863.43 and 521.09 is: 780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.56 : 863.43 = 521.09 : x
  2. Step 2: Convert to fraction form
    576.56/863.43 = 521.09/x
  3. Step 3: Cross multiply
    576.56x = 863.43 × 521.09
  4. Step 4: Simplify right side
    576.56x = 449,926.90
  5. Step 5: Solve for x
    x = 449,926.90/576.56
  6. Step 6: Final answer
    x = 780.36

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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.