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Finding the Fourth Proportional to 546.36, 819.72 and 257.76

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Solution

The fourth proportional to 546.36, 819.72 and 257.76 is: 386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 819.72 = 257.76 : x
  2. Step 2: Convert to fraction form
    546.36/819.72 = 257.76/x
  3. Step 3: Cross multiply
    546.36x = 819.72 × 257.76
  4. Step 4: Simplify right side
    546.36x = 211,291.03
  5. Step 5: Solve for x
    x = 211,291.03/546.36
  6. Step 6: Final answer
    x = 386.72

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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.