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Finding the Fourth Proportional to 506.60, 759.94 and 198.47

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Solution

The fourth proportional to 506.60, 759.94 and 198.47 is: 297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.60 : 759.94 = 198.47 : x
  2. Step 2: Convert to fraction form
    506.60/759.94 = 198.47/x
  3. Step 3: Cross multiply
    506.60x = 759.94 × 198.47
  4. Step 4: Simplify right side
    506.60x = 150,825.29
  5. Step 5: Solve for x
    x = 150,825.29/506.60
  6. Step 6: Final answer
    x = 297.72

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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.