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Finding the Fourth Proportional to 568.05, 850.82 and 324.42

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Solution

The fourth proportional to 568.05, 850.82 and 324.42 is: 485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.05 : 850.82 = 324.42 : x
  2. Step 2: Convert to fraction form
    568.05/850.82 = 324.42/x
  3. Step 3: Cross multiply
    568.05x = 850.82 × 324.42
  4. Step 4: Simplify right side
    568.05x = 276,021.40
  5. Step 5: Solve for x
    x = 276,021.40/568.05
  6. Step 6: Final answer
    x = 485.91

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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.