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Finding the Fourth Proportional to 546.88, 820.34 and 254.30

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Solution

The fourth proportional to 546.88, 820.34 and 254.30 is: 381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.88 : 820.34 = 254.30 : x
  2. Step 2: Convert to fraction form
    546.88/820.34 = 254.30/x
  3. Step 3: Cross multiply
    546.88x = 820.34 × 254.30
  4. Step 4: Simplify right side
    546.88x = 208,612.46
  5. Step 5: Solve for x
    x = 208,612.46/546.88
  6. Step 6: Final answer
    x = 381.46

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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.