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Finding the Fourth Proportional to 676.84, 1,014.46 and 311.08

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Solution

The fourth proportional to 676.84, 1,014.46 and 311.08 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.84 : 1,014.46 = 311.08 : x
  2. Step 2: Convert to fraction form
    676.84/1,014.46 = 311.08/x
  3. Step 3: Cross multiply
    676.84x = 1,014.46 × 311.08
  4. Step 4: Simplify right side
    676.84x = 315,578.22
  5. Step 5: Solve for x
    x = 315,578.22/676.84
  6. Step 6: Final answer
    x = 466.25

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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.