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Finding the Fourth Proportional to 402.26, 602.37 and 337.09

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Solution

The fourth proportional to 402.26, 602.37 and 337.09 is: 504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 602.37 = 337.09 : x
  2. Step 2: Convert to fraction form
    402.26/602.37 = 337.09/x
  3. Step 3: Cross multiply
    402.26x = 602.37 × 337.09
  4. Step 4: Simplify right side
    402.26x = 203,048.96
  5. Step 5: Solve for x
    x = 203,048.96/402.26
  6. Step 6: Final answer
    x = 504.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.