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Finding the Fourth Proportional to 546.04, 819.23 and 326.63

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Solution

The fourth proportional to 546.04, 819.23 and 326.63 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.04 : 819.23 = 326.63 : x
  2. Step 2: Convert to fraction form
    546.04/819.23 = 326.63/x
  3. Step 3: Cross multiply
    546.04x = 819.23 × 326.63
  4. Step 4: Simplify right side
    546.04x = 267,581.00
  5. Step 5: Solve for x
    x = 267,581.00/546.04
  6. Step 6: Final answer
    x = 490.04

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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.