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Finding the Fourth Proportional to 546.26, 819.36 and 302.04

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Solution

The fourth proportional to 546.26, 819.36 and 302.04 is: 453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.26 : 819.36 = 302.04 : x
  2. Step 2: Convert to fraction form
    546.26/819.36 = 302.04/x
  3. Step 3: Cross multiply
    546.26x = 819.36 × 302.04
  4. Step 4: Simplify right side
    546.26x = 247,479.49
  5. Step 5: Solve for x
    x = 247,479.49/546.26
  6. Step 6: Final answer
    x = 453.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.