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Finding the Fourth Proportional to 397.48, 548.68 and 231.80

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Solution

The fourth proportional to 397.48, 548.68 and 231.80 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.48 : 548.68 = 231.80 : x
  2. Step 2: Convert to fraction form
    397.48/548.68 = 231.80/x
  3. Step 3: Cross multiply
    397.48x = 548.68 × 231.80
  4. Step 4: Simplify right side
    397.48x = 127,184.02
  5. Step 5: Solve for x
    x = 127,184.02/397.48
  6. Step 6: Final answer
    x = 319.98

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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.