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Finding the Fourth Proportional to 742.44, 1,115.82 and 357.96

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Solution

The fourth proportional to 742.44, 1,115.82 and 357.96 is: 537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.44 : 1,115.82 = 357.96 : x
  2. Step 2: Convert to fraction form
    742.44/1,115.82 = 357.96/x
  3. Step 3: Cross multiply
    742.44x = 1,115.82 × 357.96
  4. Step 4: Simplify right side
    742.44x = 399,418.93
  5. Step 5: Solve for x
    x = 399,418.93/742.44
  6. Step 6: Final answer
    x = 537.98

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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.