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Finding the Fourth Proportional to 676.49, 1,014.12 and 265.64

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Solution

The fourth proportional to 676.49, 1,014.12 and 265.64 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.49 : 1,014.12 = 265.64 : x
  2. Step 2: Convert to fraction form
    676.49/1,014.12 = 265.64/x
  3. Step 3: Cross multiply
    676.49x = 1,014.12 × 265.64
  4. Step 4: Simplify right side
    676.49x = 269,385.77
  5. Step 5: Solve for x
    x = 269,385.77/676.49
  6. Step 6: Final answer
    x = 398.21

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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.