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Finding the Fourth Proportional to 408.03, 609.60 and 335.13

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Solution

The fourth proportional to 408.03, 609.60 and 335.13 is: 500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.03 : 609.60 = 335.13 : x
  2. Step 2: Convert to fraction form
    408.03/609.60 = 335.13/x
  3. Step 3: Cross multiply
    408.03x = 609.60 × 335.13
  4. Step 4: Simplify right side
    408.03x = 204,295.25
  5. Step 5: Solve for x
    x = 204,295.25/408.03
  6. Step 6: Final answer
    x = 500.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.