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Finding the Fourth Proportional to 676.54, 1,014.86 and 214.31

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Solution

The fourth proportional to 676.54, 1,014.86 and 214.31 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.54 : 1,014.86 = 214.31 : x
  2. Step 2: Convert to fraction form
    676.54/1,014.86 = 214.31/x
  3. Step 3: Cross multiply
    676.54x = 1,014.86 × 214.31
  4. Step 4: Simplify right side
    676.54x = 217,490.11
  5. Step 5: Solve for x
    x = 217,490.11/676.54
  6. Step 6: Final answer
    x = 321.48

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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.