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Finding the Fourth Proportional to 634.15, 951.69 and 360.78

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Solution

The fourth proportional to 634.15, 951.69 and 360.78 is: 541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.15 : 951.69 = 360.78 : x
  2. Step 2: Convert to fraction form
    634.15/951.69 = 360.78/x
  3. Step 3: Cross multiply
    634.15x = 951.69 × 360.78
  4. Step 4: Simplify right side
    634.15x = 343,350.72
  5. Step 5: Solve for x
    x = 343,350.72/634.15
  6. Step 6: Final answer
    x = 541.43

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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.