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Finding the Fourth Proportional to 633.98, 951.52 and 506.54

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Solution

The fourth proportional to 633.98, 951.52 and 506.54 is: 760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.98 : 951.52 = 506.54 : x
  2. Step 2: Convert to fraction form
    633.98/951.52 = 506.54/x
  3. Step 3: Cross multiply
    633.98x = 951.52 × 506.54
  4. Step 4: Simplify right side
    633.98x = 481,982.94
  5. Step 5: Solve for x
    x = 481,982.94/633.98
  6. Step 6: Final answer
    x = 760.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.