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Finding the Fourth Proportional to 546.94, 820.29 and 200.30

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Solution

The fourth proportional to 546.94, 820.29 and 200.30 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 820.29 = 200.30 : x
  2. Step 2: Convert to fraction form
    546.94/820.29 = 200.30/x
  3. Step 3: Cross multiply
    546.94x = 820.29 × 200.30
  4. Step 4: Simplify right side
    546.94x = 164,304.09
  5. Step 5: Solve for x
    x = 164,304.09/546.94
  6. Step 6: Final answer
    x = 300.41

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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.