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Finding the Fourth Proportional to 397.08, 547.84 and 257.20

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Solution

The fourth proportional to 397.08, 547.84 and 257.20 is: 354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 547.84 = 257.20 : x
  2. Step 2: Convert to fraction form
    397.08/547.84 = 257.20/x
  3. Step 3: Cross multiply
    397.08x = 547.84 × 257.20
  4. Step 4: Simplify right side
    397.08x = 140,902.44
  5. Step 5: Solve for x
    x = 140,902.44/397.08
  6. Step 6: Final answer
    x = 354.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.