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Finding the Fourth Proportional to 676.06, 1,012.73 and 310.34

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Solution

The fourth proportional to 676.06, 1,012.73 and 310.34 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.06 : 1,012.73 = 310.34 : x
  2. Step 2: Convert to fraction form
    676.06/1,012.73 = 310.34/x
  3. Step 3: Cross multiply
    676.06x = 1,012.73 × 310.34
  4. Step 4: Simplify right side
    676.06x = 314,290.63
  5. Step 5: Solve for x
    x = 314,290.63/676.06
  6. Step 6: Final answer
    x = 464.89

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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.