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Finding the Fourth Proportional to 331.76, 457.02 and 269.42

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Solution

The fourth proportional to 331.76, 457.02 and 269.42 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.76 : 457.02 = 269.42 : x
  2. Step 2: Convert to fraction form
    331.76/457.02 = 269.42/x
  3. Step 3: Cross multiply
    331.76x = 457.02 × 269.42
  4. Step 4: Simplify right side
    331.76x = 123,130.33
  5. Step 5: Solve for x
    x = 123,130.33/331.76
  6. Step 6: Final answer
    x = 371.14

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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.