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Finding the Fourth Proportional to 634.29, 951.54 and 269.08

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Solution

The fourth proportional to 634.29, 951.54 and 269.08 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.29 : 951.54 = 269.08 : x
  2. Step 2: Convert to fraction form
    634.29/951.54 = 269.08/x
  3. Step 3: Cross multiply
    634.29x = 951.54 × 269.08
  4. Step 4: Simplify right side
    634.29x = 256,039.04
  5. Step 5: Solve for x
    x = 256,039.04/634.29
  6. Step 6: Final answer
    x = 403.66

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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.