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Finding the Fourth Proportional to 506.25, 755.46 and 451.58

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Solution

The fourth proportional to 506.25, 755.46 and 451.58 is: 673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 755.46 = 451.58 : x
  2. Step 2: Convert to fraction form
    506.25/755.46 = 451.58/x
  3. Step 3: Cross multiply
    506.25x = 755.46 × 451.58
  4. Step 4: Simplify right side
    506.25x = 341,146.85
  5. Step 5: Solve for x
    x = 341,146.85/506.25
  6. Step 6: Final answer
    x = 673.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.