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Finding the Fourth Proportional to 634.53, 951.14 and 391.23

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Solution

The fourth proportional to 634.53, 951.14 and 391.23 is: 586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.53 : 951.14 = 391.23 : x
  2. Step 2: Convert to fraction form
    634.53/951.14 = 391.23/x
  3. Step 3: Cross multiply
    634.53x = 951.14 × 391.23
  4. Step 4: Simplify right side
    634.53x = 372,115.48
  5. Step 5: Solve for x
    x = 372,115.48/634.53
  6. Step 6: Final answer
    x = 586.44

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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.