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Finding the Fourth Proportional to 676.32, 1,013.76 and 329.76

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Solution

The fourth proportional to 676.32, 1,013.76 and 329.76 is: 494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 1,013.76 = 329.76 : x
  2. Step 2: Convert to fraction form
    676.32/1,013.76 = 329.76/x
  3. Step 3: Cross multiply
    676.32x = 1,013.76 × 329.76
  4. Step 4: Simplify right side
    676.32x = 334,297.50
  5. Step 5: Solve for x
    x = 334,297.50/676.32
  6. Step 6: Final answer
    x = 494.29

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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.