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Finding the Fourth Proportional to 549.88, 823.28 and 343.94

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Solution

The fourth proportional to 549.88, 823.28 and 343.94 is: 514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.88 : 823.28 = 343.94 : x
  2. Step 2: Convert to fraction form
    549.88/823.28 = 343.94/x
  3. Step 3: Cross multiply
    549.88x = 823.28 × 343.94
  4. Step 4: Simplify right side
    549.88x = 283,153.09
  5. Step 5: Solve for x
    x = 283,153.09/549.88
  6. Step 6: Final answer
    x = 514.94

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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.