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Finding the Fourth Proportional to 397.57, 548.35 and 231.77

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Solution

The fourth proportional to 397.57, 548.35 and 231.77 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.57 : 548.35 = 231.77 : x
  2. Step 2: Convert to fraction form
    397.57/548.35 = 231.77/x
  3. Step 3: Cross multiply
    397.57x = 548.35 × 231.77
  4. Step 4: Simplify right side
    397.57x = 127,093.17
  5. Step 5: Solve for x
    x = 127,093.17/397.57
  6. Step 6: Final answer
    x = 319.68

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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.