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Finding the Fourth Proportional to 404.92, 607.61 and 199.52

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Solution

The fourth proportional to 404.92, 607.61 and 199.52 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.92 : 607.61 = 199.52 : x
  2. Step 2: Convert to fraction form
    404.92/607.61 = 199.52/x
  3. Step 3: Cross multiply
    404.92x = 607.61 × 199.52
  4. Step 4: Simplify right side
    404.92x = 121,229.35
  5. Step 5: Solve for x
    x = 121,229.35/404.92
  6. Step 6: Final answer
    x = 299.39

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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.