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Finding the Fourth Proportional to 404.82, 607.20 and 199.23

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Solution

The fourth proportional to 404.82, 607.20 and 199.23 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.82 : 607.20 = 199.23 : x
  2. Step 2: Convert to fraction form
    404.82/607.20 = 199.23/x
  3. Step 3: Cross multiply
    404.82x = 607.20 × 199.23
  4. Step 4: Simplify right side
    404.82x = 120,972.46
  5. Step 5: Solve for x
    x = 120,972.46/404.82
  6. Step 6: Final answer
    x = 298.83

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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.