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Finding the Fourth Proportional to 572.17, 789.27 and 361.96

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Solution

The fourth proportional to 572.17, 789.27 and 361.96 is: 499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.17 : 789.27 = 361.96 : x
  2. Step 2: Convert to fraction form
    572.17/789.27 = 361.96/x
  3. Step 3: Cross multiply
    572.17x = 789.27 × 361.96
  4. Step 4: Simplify right side
    572.17x = 285,684.17
  5. Step 5: Solve for x
    x = 285,684.17/572.17
  6. Step 6: Final answer
    x = 499.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.