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Finding the Fourth Proportional to 331.49, 457.73 and 296.46

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Solution

The fourth proportional to 331.49, 457.73 and 296.46 is: 409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.49 : 457.73 = 296.46 : x
  2. Step 2: Convert to fraction form
    331.49/457.73 = 296.46/x
  3. Step 3: Cross multiply
    331.49x = 457.73 × 296.46
  4. Step 4: Simplify right side
    331.49x = 135,698.27
  5. Step 5: Solve for x
    x = 135,698.27/331.49
  6. Step 6: Final answer
    x = 409.36

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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.