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Finding the Fourth Proportional to 568.45, 852.99 and 308.45

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Solution

The fourth proportional to 568.45, 852.99 and 308.45 is: 462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 852.99 = 308.45 : x
  2. Step 2: Convert to fraction form
    568.45/852.99 = 308.45/x
  3. Step 3: Cross multiply
    568.45x = 852.99 × 308.45
  4. Step 4: Simplify right side
    568.45x = 263,104.77
  5. Step 5: Solve for x
    x = 263,104.77/568.45
  6. Step 6: Final answer
    x = 462.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.