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Finding the Fourth Proportional to 676.22, 1,014.37 and 214.02

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Solution

The fourth proportional to 676.22, 1,014.37 and 214.02 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.22 : 1,014.37 = 214.02 : x
  2. Step 2: Convert to fraction form
    676.22/1,014.37 = 214.02/x
  3. Step 3: Cross multiply
    676.22x = 1,014.37 × 214.02
  4. Step 4: Simplify right side
    676.22x = 217,095.47
  5. Step 5: Solve for x
    x = 217,095.47/676.22
  6. Step 6: Final answer
    x = 321.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.