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Finding the Fourth Proportional to 397.09, 547.52 and 257.06

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Solution

The fourth proportional to 397.09, 547.52 and 257.06 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 547.52 = 257.06 : x
  2. Step 2: Convert to fraction form
    397.09/547.52 = 257.06/x
  3. Step 3: Cross multiply
    397.09x = 547.52 × 257.06
  4. Step 4: Simplify right side
    397.09x = 140,745.49
  5. Step 5: Solve for x
    x = 140,745.49/397.09
  6. Step 6: Final answer
    x = 354.44

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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.