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Finding the Fourth Proportional to 549.41, 823.97 and 241.34

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Solution

The fourth proportional to 549.41, 823.97 and 241.34 is: 361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.41 : 823.97 = 241.34 : x
  2. Step 2: Convert to fraction form
    549.41/823.97 = 241.34/x
  3. Step 3: Cross multiply
    549.41x = 823.97 × 241.34
  4. Step 4: Simplify right side
    549.41x = 198,853.40
  5. Step 5: Solve for x
    x = 198,853.40/549.41
  6. Step 6: Final answer
    x = 361.94

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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.