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Finding the Fourth Proportional to 546.38, 819.84 and 289.88

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Solution

The fourth proportional to 546.38, 819.84 and 289.88 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 819.84 = 289.88 : x
  2. Step 2: Convert to fraction form
    546.38/819.84 = 289.88/x
  3. Step 3: Cross multiply
    546.38x = 819.84 × 289.88
  4. Step 4: Simplify right side
    546.38x = 237,651.12
  5. Step 5: Solve for x
    x = 237,651.12/546.38
  6. Step 6: Final answer
    x = 434.96

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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.