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Finding the Fourth Proportional to 664.64, 996.45 and 253.90

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Solution

The fourth proportional to 664.64, 996.45 and 253.90 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 996.45 = 253.90 : x
  2. Step 2: Convert to fraction form
    664.64/996.45 = 253.90/x
  3. Step 3: Cross multiply
    664.64x = 996.45 × 253.90
  4. Step 4: Simplify right side
    664.64x = 252,996.17
  5. Step 5: Solve for x
    x = 252,996.17/664.64
  6. Step 6: Final answer
    x = 380.65

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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.