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Finding the Fourth Proportional to 546.40, 819.96 and 409.60

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Solution

The fourth proportional to 546.40, 819.96 and 409.60 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 819.96 = 409.60 : x
  2. Step 2: Convert to fraction form
    546.40/819.96 = 409.60/x
  3. Step 3: Cross multiply
    546.40x = 819.96 × 409.60
  4. Step 4: Simplify right side
    546.40x = 335,855.62
  5. Step 5: Solve for x
    x = 335,855.62/546.40
  6. Step 6: Final answer
    x = 614.67

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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.