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Finding the Fourth Proportional to 663.90, 996.33 and 335.13

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Solution

The fourth proportional to 663.90, 996.33 and 335.13 is: 502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.90 : 996.33 = 335.13 : x
  2. Step 2: Convert to fraction form
    663.90/996.33 = 335.13/x
  3. Step 3: Cross multiply
    663.90x = 996.33 × 335.13
  4. Step 4: Simplify right side
    663.90x = 333,900.07
  5. Step 5: Solve for x
    x = 333,900.07/663.90
  6. Step 6: Final answer
    x = 502.94

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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.