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Finding the Fourth Proportional to 546.38, 819.56 and 258.02

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Solution

The fourth proportional to 546.38, 819.56 and 258.02 is: 387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 819.56 = 258.02 : x
  2. Step 2: Convert to fraction form
    546.38/819.56 = 258.02/x
  3. Step 3: Cross multiply
    546.38x = 819.56 × 258.02
  4. Step 4: Simplify right side
    546.38x = 211,462.87
  5. Step 5: Solve for x
    x = 211,462.87/546.38
  6. Step 6: Final answer
    x = 387.03

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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.