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Finding the Fourth Proportional to 546.54, 819.03 and 407.09

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Solution

The fourth proportional to 546.54, 819.03 and 407.09 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.54 : 819.03 = 407.09 : x
  2. Step 2: Convert to fraction form
    546.54/819.03 = 407.09/x
  3. Step 3: Cross multiply
    546.54x = 819.03 × 407.09
  4. Step 4: Simplify right side
    546.54x = 333,418.92
  5. Step 5: Solve for x
    x = 333,418.92/546.54
  6. Step 6: Final answer
    x = 610.05

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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.