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Finding the Fourth Proportional to 546.29, 819.43 and 257.93

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Solution

The fourth proportional to 546.29, 819.43 and 257.93 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.29 : 819.43 = 257.93 : x
  2. Step 2: Convert to fraction form
    546.29/819.43 = 257.93/x
  3. Step 3: Cross multiply
    546.29x = 819.43 × 257.93
  4. Step 4: Simplify right side
    546.29x = 211,350.84
  5. Step 5: Solve for x
    x = 211,350.84/546.29
  6. Step 6: Final answer
    x = 386.89

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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.