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Finding the Fourth Proportional to 418.89, 629.69 and 405.93

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Solution

The fourth proportional to 418.89, 629.69 and 405.93 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.89 : 629.69 = 405.93 : x
  2. Step 2: Convert to fraction form
    418.89/629.69 = 405.93/x
  3. Step 3: Cross multiply
    418.89x = 629.69 × 405.93
  4. Step 4: Simplify right side
    418.89x = 255,608.03
  5. Step 5: Solve for x
    x = 255,608.03/418.89
  6. Step 6: Final answer
    x = 610.20

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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.