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Finding the Fourth Proportional to 546.38, 820.39 and 342.24

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Solution

The fourth proportional to 546.38, 820.39 and 342.24 is: 513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 820.39 = 342.24 : x
  2. Step 2: Convert to fraction form
    546.38/820.39 = 342.24/x
  3. Step 3: Cross multiply
    546.38x = 820.39 × 342.24
  4. Step 4: Simplify right side
    546.38x = 280,770.27
  5. Step 5: Solve for x
    x = 280,770.27/546.38
  6. Step 6: Final answer
    x = 513.87

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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.