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Finding the Fourth Proportional to 634.63, 951.99 and 269.05

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Solution

The fourth proportional to 634.63, 951.99 and 269.05 is: 403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.63 : 951.99 = 269.05 : x
  2. Step 2: Convert to fraction form
    634.63/951.99 = 269.05/x
  3. Step 3: Cross multiply
    634.63x = 951.99 × 269.05
  4. Step 4: Simplify right side
    634.63x = 256,132.91
  5. Step 5: Solve for x
    x = 256,132.91/634.63
  6. Step 6: Final answer
    x = 403.59

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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.