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Finding the Fourth Proportional to 299.55, 412.86 and 220.78

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Solution

The fourth proportional to 299.55, 412.86 and 220.78 is: 304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.55 : 412.86 = 220.78 : x
  2. Step 2: Convert to fraction form
    299.55/412.86 = 220.78/x
  3. Step 3: Cross multiply
    299.55x = 412.86 × 220.78
  4. Step 4: Simplify right side
    299.55x = 91,151.23
  5. Step 5: Solve for x
    x = 91,151.23/299.55
  6. Step 6: Final answer
    x = 304.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.