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Finding the Fourth Proportional to 664.59, 997.05 and 253.74

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Solution

The fourth proportional to 664.59, 997.05 and 253.74 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.59 : 997.05 = 253.74 : x
  2. Step 2: Convert to fraction form
    664.59/997.05 = 253.74/x
  3. Step 3: Cross multiply
    664.59x = 997.05 × 253.74
  4. Step 4: Simplify right side
    664.59x = 252,991.47
  5. Step 5: Solve for x
    x = 252,991.47/664.59
  6. Step 6: Final answer
    x = 380.67

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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.