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Finding the Fourth Proportional to 663.75, 996.14 and 253.17

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Solution

The fourth proportional to 663.75, 996.14 and 253.17 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.75 : 996.14 = 253.17 : x
  2. Step 2: Convert to fraction form
    663.75/996.14 = 253.17/x
  3. Step 3: Cross multiply
    663.75x = 996.14 × 253.17
  4. Step 4: Simplify right side
    663.75x = 252,191.50
  5. Step 5: Solve for x
    x = 252,191.50/663.75
  6. Step 6: Final answer
    x = 379.95

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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.