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Finding the Fourth Proportional to 547.05, 819.66 and 416.85

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Solution

The fourth proportional to 547.05, 819.66 and 416.85 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 819.66 = 416.85 : x
  2. Step 2: Convert to fraction form
    547.05/819.66 = 416.85/x
  3. Step 3: Cross multiply
    547.05x = 819.66 × 416.85
  4. Step 4: Simplify right side
    547.05x = 341,675.27
  5. Step 5: Solve for x
    x = 341,675.27/547.05
  6. Step 6: Final answer
    x = 624.58

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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.