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Finding the Fourth Proportional to 418.82, 629.46 and 303.48

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Solution

The fourth proportional to 418.82, 629.46 and 303.48 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 629.46 = 303.48 : x
  2. Step 2: Convert to fraction form
    418.82/629.46 = 303.48/x
  3. Step 3: Cross multiply
    418.82x = 629.46 × 303.48
  4. Step 4: Simplify right side
    418.82x = 191,028.52
  5. Step 5: Solve for x
    x = 191,028.52/418.82
  6. Step 6: Final answer
    x = 456.12

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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.