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Finding the Fourth Proportional to 404.32, 606.52 and 199.12

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Solution

The fourth proportional to 404.32, 606.52 and 199.12 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.32 : 606.52 = 199.12 : x
  2. Step 2: Convert to fraction form
    404.32/606.52 = 199.12/x
  3. Step 3: Cross multiply
    404.32x = 606.52 × 199.12
  4. Step 4: Simplify right side
    404.32x = 120,770.26
  5. Step 5: Solve for x
    x = 120,770.26/404.32
  6. Step 6: Final answer
    x = 298.70

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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.