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Finding the Fourth Proportional to 664.23, 997.43 and 279.75

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Solution

The fourth proportional to 664.23, 997.43 and 279.75 is: 420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.23 : 997.43 = 279.75 : x
  2. Step 2: Convert to fraction form
    664.23/997.43 = 279.75/x
  3. Step 3: Cross multiply
    664.23x = 997.43 × 279.75
  4. Step 4: Simplify right side
    664.23x = 279,031.04
  5. Step 5: Solve for x
    x = 279,031.04/664.23
  6. Step 6: Final answer
    x = 420.08

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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.