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Finding the Fourth Proportional to 331.28, 456.68 and 296.72

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Solution

The fourth proportional to 331.28, 456.68 and 296.72 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.28 : 456.68 = 296.72 : x
  2. Step 2: Convert to fraction form
    331.28/456.68 = 296.72/x
  3. Step 3: Cross multiply
    331.28x = 456.68 × 296.72
  4. Step 4: Simplify right side
    331.28x = 135,506.09
  5. Step 5: Solve for x
    x = 135,506.09/331.28
  6. Step 6: Final answer
    x = 409.04

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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.