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Finding the Fourth Proportional to 538.72, 806.82 and 452.60

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Solution

The fourth proportional to 538.72, 806.82 and 452.60 is: 677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 806.82 = 452.60 : x
  2. Step 2: Convert to fraction form
    538.72/806.82 = 452.60/x
  3. Step 3: Cross multiply
    538.72x = 806.82 × 452.60
  4. Step 4: Simplify right side
    538.72x = 365,166.73
  5. Step 5: Solve for x
    x = 365,166.73/538.72
  6. Step 6: Final answer
    x = 677.84

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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.