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Finding the Fourth Proportional to 664.55, 997.12 and 253.81

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Solution

The fourth proportional to 664.55, 997.12 and 253.81 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.55 : 997.12 = 253.81 : x
  2. Step 2: Convert to fraction form
    664.55/997.12 = 253.81/x
  3. Step 3: Cross multiply
    664.55x = 997.12 × 253.81
  4. Step 4: Simplify right side
    664.55x = 253,074.04
  5. Step 5: Solve for x
    x = 253,074.04/664.55
  6. Step 6: Final answer
    x = 380.82

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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.