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Finding the Fourth Proportional to 397.53, 547.79 and 257.49

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Solution

The fourth proportional to 397.53, 547.79 and 257.49 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 547.79 = 257.49 : x
  2. Step 2: Convert to fraction form
    397.53/547.79 = 257.49/x
  3. Step 3: Cross multiply
    397.53x = 547.79 × 257.49
  4. Step 4: Simplify right side
    397.53x = 141,049.16
  5. Step 5: Solve for x
    x = 141,049.16/397.53
  6. Step 6: Final answer
    x = 354.81

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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.