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Finding the Fourth Proportional to 676.67, 1,014.14 and 310.68

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Solution

The fourth proportional to 676.67, 1,014.14 and 310.68 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.67 : 1,014.14 = 310.68 : x
  2. Step 2: Convert to fraction form
    676.67/1,014.14 = 310.68/x
  3. Step 3: Cross multiply
    676.67x = 1,014.14 × 310.68
  4. Step 4: Simplify right side
    676.67x = 315,073.79
  5. Step 5: Solve for x
    x = 315,073.79/676.67
  6. Step 6: Final answer
    x = 465.63

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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.