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Finding the Fourth Proportional to 546.65, 819.49 and 199.75

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Solution

The fourth proportional to 546.65, 819.49 and 199.75 is: 299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.65 : 819.49 = 199.75 : x
  2. Step 2: Convert to fraction form
    546.65/819.49 = 199.75/x
  3. Step 3: Cross multiply
    546.65x = 819.49 × 199.75
  4. Step 4: Simplify right side
    546.65x = 163,689.42
  5. Step 5: Solve for x
    x = 163,689.42/546.65
  6. Step 6: Final answer
    x = 299.44

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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.