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Finding the Fourth Proportional to 546.45, 819.68 and 199.57

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Solution

The fourth proportional to 546.45, 819.68 and 199.57 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.45 : 819.68 = 199.57 : x
  2. Step 2: Convert to fraction form
    546.45/819.68 = 199.57/x
  3. Step 3: Cross multiply
    546.45x = 819.68 × 199.57
  4. Step 4: Simplify right side
    546.45x = 163,579.94
  5. Step 5: Solve for x
    x = 163,579.94/546.45
  6. Step 6: Final answer
    x = 299.35

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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.