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Finding the Fourth Proportional to 549.18, 824.19 and 344.07

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Solution

The fourth proportional to 549.18, 824.19 and 344.07 is: 516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 824.19 = 344.07 : x
  2. Step 2: Convert to fraction form
    549.18/824.19 = 344.07/x
  3. Step 3: Cross multiply
    549.18x = 824.19 × 344.07
  4. Step 4: Simplify right side
    549.18x = 283,579.05
  5. Step 5: Solve for x
    x = 283,579.05/549.18
  6. Step 6: Final answer
    x = 516.37

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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.