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Finding the Fourth Proportional to 406.33, 609.88 and 214.09

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Solution

The fourth proportional to 406.33, 609.88 and 214.09 is: 321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.33 : 609.88 = 214.09 : x
  2. Step 2: Convert to fraction form
    406.33/609.88 = 214.09/x
  3. Step 3: Cross multiply
    406.33x = 609.88 × 214.09
  4. Step 4: Simplify right side
    406.33x = 130,569.21
  5. Step 5: Solve for x
    x = 130,569.21/406.33
  6. Step 6: Final answer
    x = 321.34

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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.