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Finding the Fourth Proportional to 546.78, 820.38 and 200.31

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Solution

The fourth proportional to 546.78, 820.38 and 200.31 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 820.38 = 200.31 : x
  2. Step 2: Convert to fraction form
    546.78/820.38 = 200.31/x
  3. Step 3: Cross multiply
    546.78x = 820.38 × 200.31
  4. Step 4: Simplify right side
    546.78x = 164,330.32
  5. Step 5: Solve for x
    x = 164,330.32/546.78
  6. Step 6: Final answer
    x = 300.54

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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.