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Finding the Fourth Proportional to 663.89, 996.44 and 339.48

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Solution

The fourth proportional to 663.89, 996.44 and 339.48 is: 509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.89 : 996.44 = 339.48 : x
  2. Step 2: Convert to fraction form
    663.89/996.44 = 339.48/x
  3. Step 3: Cross multiply
    663.89x = 996.44 × 339.48
  4. Step 4: Simplify right side
    663.89x = 338,269.75
  5. Step 5: Solve for x
    x = 338,269.75/663.89
  6. Step 6: Final answer
    x = 509.53

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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.