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Finding the Fourth Proportional to 547.45, 819.80 and 364.29

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Solution

The fourth proportional to 547.45, 819.80 and 364.29 is: 545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.45 : 819.80 = 364.29 : x
  2. Step 2: Convert to fraction form
    547.45/819.80 = 364.29/x
  3. Step 3: Cross multiply
    547.45x = 819.80 × 364.29
  4. Step 4: Simplify right side
    547.45x = 298,644.94
  5. Step 5: Solve for x
    x = 298,644.94/547.45
  6. Step 6: Final answer
    x = 545.52

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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.