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Finding the Fourth Proportional to 576.05, 862.01 and 537.43

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Solution

The fourth proportional to 576.05, 862.01 and 537.43 is: 804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.05 : 862.01 = 537.43 : x
  2. Step 2: Convert to fraction form
    576.05/862.01 = 537.43/x
  3. Step 3: Cross multiply
    576.05x = 862.01 × 537.43
  4. Step 4: Simplify right side
    576.05x = 463,270.03
  5. Step 5: Solve for x
    x = 463,270.03/576.05
  6. Step 6: Final answer
    x = 804.22

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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.