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Finding the Fourth Proportional to 664.53, 996.31 and 313.01

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Solution

The fourth proportional to 664.53, 996.31 and 313.01 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.53 : 996.31 = 313.01 : x
  2. Step 2: Convert to fraction form
    664.53/996.31 = 313.01/x
  3. Step 3: Cross multiply
    664.53x = 996.31 × 313.01
  4. Step 4: Simplify right side
    664.53x = 311,857.88
  5. Step 5: Solve for x
    x = 311,857.88/664.53
  6. Step 6: Final answer
    x = 469.29

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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.