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Finding the Fourth Proportional to 546.40, 819.56 and 257.80

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Solution

The fourth proportional to 546.40, 819.56 and 257.80 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 819.56 = 257.80 : x
  2. Step 2: Convert to fraction form
    546.40/819.56 = 257.80/x
  3. Step 3: Cross multiply
    546.40x = 819.56 × 257.80
  4. Step 4: Simplify right side
    546.40x = 211,282.57
  5. Step 5: Solve for x
    x = 211,282.57/546.40
  6. Step 6: Final answer
    x = 386.68

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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.