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Finding the Fourth Proportional to 506.45, 696.82 and 395.74

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Solution

The fourth proportional to 506.45, 696.82 and 395.74 is: 544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.45 : 696.82 = 395.74 : x
  2. Step 2: Convert to fraction form
    506.45/696.82 = 395.74/x
  3. Step 3: Cross multiply
    506.45x = 696.82 × 395.74
  4. Step 4: Simplify right side
    506.45x = 275,759.55
  5. Step 5: Solve for x
    x = 275,759.55/506.45
  6. Step 6: Final answer
    x = 544.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.