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Finding the Fourth Proportional to 406, 609.41 and 296.65

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Solution

The fourth proportional to 406, 609.41 and 296.65 is: 445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 609.41 = 296.65 : x
  2. Step 2: Convert to fraction form
    406/609.41 = 296.65/x
  3. Step 3: Cross multiply
    406x = 609.41 × 296.65
  4. Step 4: Simplify right side
    406x = 180,781.48
  5. Step 5: Solve for x
    x = 180,781.48/406
  6. Step 6: Final answer
    x = 445.27

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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.