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Finding the Fourth Proportional to 676.54, 1,014.38 and 214.18

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Solution

The fourth proportional to 676.54, 1,014.38 and 214.18 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.54 : 1,014.38 = 214.18 : x
  2. Step 2: Convert to fraction form
    676.54/1,014.38 = 214.18/x
  3. Step 3: Cross multiply
    676.54x = 1,014.38 × 214.18
  4. Step 4: Simplify right side
    676.54x = 217,259.91
  5. Step 5: Solve for x
    x = 217,259.91/676.54
  6. Step 6: Final answer
    x = 321.13

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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.