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Finding the Fourth Proportional to 538.45, 806.31 and 451.55

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Solution

The fourth proportional to 538.45, 806.31 and 451.55 is: 676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 806.31 = 451.55 : x
  2. Step 2: Convert to fraction form
    538.45/806.31 = 451.55/x
  3. Step 3: Cross multiply
    538.45x = 806.31 × 451.55
  4. Step 4: Simplify right side
    538.45x = 364,091.30
  5. Step 5: Solve for x
    x = 364,091.30/538.45
  6. Step 6: Final answer
    x = 676.19

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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.