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Finding the Fourth Proportional to 669.24, 1,003.84 and 236.29

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Solution

The fourth proportional to 669.24, 1,003.84 and 236.29 is: 354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.24 : 1,003.84 = 236.29 : x
  2. Step 2: Convert to fraction form
    669.24/1,003.84 = 236.29/x
  3. Step 3: Cross multiply
    669.24x = 1,003.84 × 236.29
  4. Step 4: Simplify right side
    669.24x = 237,197.35
  5. Step 5: Solve for x
    x = 237,197.35/669.24
  6. Step 6: Final answer
    x = 354.43

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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.