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Finding the Fourth Proportional to 634.76, 951.09 and 287.61

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Solution

The fourth proportional to 634.76, 951.09 and 287.61 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.76 : 951.09 = 287.61 : x
  2. Step 2: Convert to fraction form
    634.76/951.09 = 287.61/x
  3. Step 3: Cross multiply
    634.76x = 951.09 × 287.61
  4. Step 4: Simplify right side
    634.76x = 273,542.99
  5. Step 5: Solve for x
    x = 273,542.99/634.76
  6. Step 6: Final answer
    x = 430.94

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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.