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Finding the Fourth Proportional to 404.42, 606.42 and 185.02

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Solution

The fourth proportional to 404.42, 606.42 and 185.02 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.42 : 606.42 = 185.02 : x
  2. Step 2: Convert to fraction form
    404.42/606.42 = 185.02/x
  3. Step 3: Cross multiply
    404.42x = 606.42 × 185.02
  4. Step 4: Simplify right side
    404.42x = 112,198.31
  5. Step 5: Solve for x
    x = 112,198.31/404.42
  6. Step 6: Final answer
    x = 277.43

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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.