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Finding the Fourth Proportional to 664.25, 996.01 and 433.13

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Solution

The fourth proportional to 664.25, 996.01 and 433.13 is: 649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.25 : 996.01 = 433.13 : x
  2. Step 2: Convert to fraction form
    664.25/996.01 = 433.13/x
  3. Step 3: Cross multiply
    664.25x = 996.01 × 433.13
  4. Step 4: Simplify right side
    664.25x = 431,395.75
  5. Step 5: Solve for x
    x = 431,395.75/664.25
  6. Step 6: Final answer
    x = 649.45

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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.