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Finding the Fourth Proportional to 568.77, 851.89 and 362.82

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Solution

The fourth proportional to 568.77, 851.89 and 362.82 is: 543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.77 : 851.89 = 362.82 : x
  2. Step 2: Convert to fraction form
    568.77/851.89 = 362.82/x
  3. Step 3: Cross multiply
    568.77x = 851.89 × 362.82
  4. Step 4: Simplify right side
    568.77x = 309,082.73
  5. Step 5: Solve for x
    x = 309,082.73/568.77
  6. Step 6: Final answer
    x = 543.42

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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.