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Finding the Fourth Proportional to 547.31, 820.14 and 364.05

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Solution

The fourth proportional to 547.31, 820.14 and 364.05 is: 545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 820.14 = 364.05 : x
  2. Step 2: Convert to fraction form
    547.31/820.14 = 364.05/x
  3. Step 3: Cross multiply
    547.31x = 820.14 × 364.05
  4. Step 4: Simplify right side
    547.31x = 298,571.97
  5. Step 5: Solve for x
    x = 298,571.97/547.31
  6. Step 6: Final answer
    x = 545.53

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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.