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Finding the Fourth Proportional to 568.49, 852.89 and 203.27

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Solution

The fourth proportional to 568.49, 852.89 and 203.27 is: 304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.49 : 852.89 = 203.27 : x
  2. Step 2: Convert to fraction form
    568.49/852.89 = 203.27/x
  3. Step 3: Cross multiply
    568.49x = 852.89 × 203.27
  4. Step 4: Simplify right side
    568.49x = 173,361.67
  5. Step 5: Solve for x
    x = 173,361.67/568.49
  6. Step 6: Final answer
    x = 304.95

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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.