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Finding the Fourth Proportional to 634.51, 952.28 and 269.56

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Solution

The fourth proportional to 634.51, 952.28 and 269.56 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.51 : 952.28 = 269.56 : x
  2. Step 2: Convert to fraction form
    634.51/952.28 = 269.56/x
  3. Step 3: Cross multiply
    634.51x = 952.28 × 269.56
  4. Step 4: Simplify right side
    634.51x = 256,696.60
  5. Step 5: Solve for x
    x = 256,696.60/634.51
  6. Step 6: Final answer
    x = 404.56

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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.