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Finding the Fourth Proportional to 418.67, 628.05 and 202.23

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Solution

The fourth proportional to 418.67, 628.05 and 202.23 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 628.05 = 202.23 : x
  2. Step 2: Convert to fraction form
    418.67/628.05 = 202.23/x
  3. Step 3: Cross multiply
    418.67x = 628.05 × 202.23
  4. Step 4: Simplify right side
    418.67x = 127,010.55
  5. Step 5: Solve for x
    x = 127,010.55/418.67
  6. Step 6: Final answer
    x = 303.37

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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.