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Finding the Fourth Proportional to 406.34, 609.58 and 198.24

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Solution

The fourth proportional to 406.34, 609.58 and 198.24 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.34 : 609.58 = 198.24 : x
  2. Step 2: Convert to fraction form
    406.34/609.58 = 198.24/x
  3. Step 3: Cross multiply
    406.34x = 609.58 × 198.24
  4. Step 4: Simplify right side
    406.34x = 120,843.14
  5. Step 5: Solve for x
    x = 120,843.14/406.34
  6. Step 6: Final answer
    x = 297.39

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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.