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Finding the Fourth Proportional to 406.73, 609.99 and 290.21

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Solution

The fourth proportional to 406.73, 609.99 and 290.21 is: 435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.73 : 609.99 = 290.21 : x
  2. Step 2: Convert to fraction form
    406.73/609.99 = 290.21/x
  3. Step 3: Cross multiply
    406.73x = 609.99 × 290.21
  4. Step 4: Simplify right side
    406.73x = 177,025.20
  5. Step 5: Solve for x
    x = 177,025.20/406.73
  6. Step 6: Final answer
    x = 435.24

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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.