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Finding the Fourth Proportional to 418.81, 628.36 and 202.23

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Solution

The fourth proportional to 418.81, 628.36 and 202.23 is: 303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 628.36 = 202.23 : x
  2. Step 2: Convert to fraction form
    418.81/628.36 = 202.23/x
  3. Step 3: Cross multiply
    418.81x = 628.36 × 202.23
  4. Step 4: Simplify right side
    418.81x = 127,073.24
  5. Step 5: Solve for x
    x = 127,073.24/418.81
  6. Step 6: Final answer
    x = 303.42

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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.