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Finding the Fourth Proportional to 404.27, 606.02 and 185.04

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Solution

The fourth proportional to 404.27, 606.02 and 185.04 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.27 : 606.02 = 185.04 : x
  2. Step 2: Convert to fraction form
    404.27/606.02 = 185.04/x
  3. Step 3: Cross multiply
    404.27x = 606.02 × 185.04
  4. Step 4: Simplify right side
    404.27x = 112,137.02
  5. Step 5: Solve for x
    x = 112,137.02/404.27
  6. Step 6: Final answer
    x = 277.38

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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.