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Finding the Fourth Proportional to 634.24, 951.78 and 287.98

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Solution

The fourth proportional to 634.24, 951.78 and 287.98 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.24 : 951.78 = 287.98 : x
  2. Step 2: Convert to fraction form
    634.24/951.78 = 287.98/x
  3. Step 3: Cross multiply
    634.24x = 951.78 × 287.98
  4. Step 4: Simplify right side
    634.24x = 274,093.60
  5. Step 5: Solve for x
    x = 274,093.60/634.24
  6. Step 6: Final answer
    x = 432.16

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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.