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Finding the Fourth Proportional to 676.10, 1,012.26 and 349.94

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Solution

The fourth proportional to 676.10, 1,012.26 and 349.94 is: 523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 1,012.26 = 349.94 : x
  2. Step 2: Convert to fraction form
    676.10/1,012.26 = 349.94/x
  3. Step 3: Cross multiply
    676.10x = 1,012.26 × 349.94
  4. Step 4: Simplify right side
    676.10x = 354,230.26
  5. Step 5: Solve for x
    x = 354,230.26/676.10
  6. Step 6: Final answer
    x = 523.93

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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.