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Finding the Fourth Proportional to 568.08, 851.73 and 197.79

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Solution

The fourth proportional to 568.08, 851.73 and 197.79 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 851.73 = 197.79 : x
  2. Step 2: Convert to fraction form
    568.08/851.73 = 197.79/x
  3. Step 3: Cross multiply
    568.08x = 851.73 × 197.79
  4. Step 4: Simplify right side
    568.08x = 168,459.42
  5. Step 5: Solve for x
    x = 168,459.42/568.08
  6. Step 6: Final answer
    x = 296.54

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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.