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Finding the Fourth Proportional to 568.89, 852.27 and 511.85

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Solution

The fourth proportional to 568.89, 852.27 and 511.85 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 852.27 = 511.85 : x
  2. Step 2: Convert to fraction form
    568.89/852.27 = 511.85/x
  3. Step 3: Cross multiply
    568.89x = 852.27 × 511.85
  4. Step 4: Simplify right side
    568.89x = 436,234.40
  5. Step 5: Solve for x
    x = 436,234.40/568.89
  6. Step 6: Final answer
    x = 766.82

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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.