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Finding the Fourth Proportional to 418.56, 629.06 and 202.29

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Solution

The fourth proportional to 418.56, 629.06 and 202.29 is: 304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 629.06 = 202.29 : x
  2. Step 2: Convert to fraction form
    418.56/629.06 = 202.29/x
  3. Step 3: Cross multiply
    418.56x = 629.06 × 202.29
  4. Step 4: Simplify right side
    418.56x = 127,251.54
  5. Step 5: Solve for x
    x = 127,251.54/418.56
  6. Step 6: Final answer
    x = 304.02

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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.