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Finding the Fourth Proportional to 546.45, 819.77 and 257.88

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Solution

The fourth proportional to 546.45, 819.77 and 257.88 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.45 : 819.77 = 257.88 : x
  2. Step 2: Convert to fraction form
    546.45/819.77 = 257.88/x
  3. Step 3: Cross multiply
    546.45x = 819.77 × 257.88
  4. Step 4: Simplify right side
    546.45x = 211,402.29
  5. Step 5: Solve for x
    x = 211,402.29/546.45
  6. Step 6: Final answer
    x = 386.86

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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.