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Finding the Fourth Proportional to 676.86, 1,015.23 and 238.15

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Solution

The fourth proportional to 676.86, 1,015.23 and 238.15 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.86 : 1,015.23 = 238.15 : x
  2. Step 2: Convert to fraction form
    676.86/1,015.23 = 238.15/x
  3. Step 3: Cross multiply
    676.86x = 1,015.23 × 238.15
  4. Step 4: Simplify right side
    676.86x = 241,777.02
  5. Step 5: Solve for x
    x = 241,777.02/676.86
  6. Step 6: Final answer
    x = 357.20

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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.