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Finding the Fourth Proportional to 634.42, 951.46 and 244.14

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Solution

The fourth proportional to 634.42, 951.46 and 244.14 is: 366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 951.46 = 244.14 : x
  2. Step 2: Convert to fraction form
    634.42/951.46 = 244.14/x
  3. Step 3: Cross multiply
    634.42x = 951.46 × 244.14
  4. Step 4: Simplify right side
    634.42x = 232,289.44
  5. Step 5: Solve for x
    x = 232,289.44/634.42
  6. Step 6: Final answer
    x = 366.14

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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.