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Finding the Fourth Proportional to 506.61, 759.60 and 344.39

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Solution

The fourth proportional to 506.61, 759.60 and 344.39 is: 516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 759.60 = 344.39 : x
  2. Step 2: Convert to fraction form
    506.61/759.60 = 344.39/x
  3. Step 3: Cross multiply
    506.61x = 759.60 × 344.39
  4. Step 4: Simplify right side
    506.61x = 261,594.85
  5. Step 5: Solve for x
    x = 261,594.85/506.61
  6. Step 6: Final answer
    x = 516.36

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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.