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Finding the Fourth Proportional to 331.40, 457.08 and 296.84

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Solution

The fourth proportional to 331.40, 457.08 and 296.84 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.40 : 457.08 = 296.84 : x
  2. Step 2: Convert to fraction form
    331.40/457.08 = 296.84/x
  3. Step 3: Cross multiply
    331.40x = 457.08 × 296.84
  4. Step 4: Simplify right side
    331.40x = 135,679.63
  5. Step 5: Solve for x
    x = 135,679.63/331.40
  6. Step 6: Final answer
    x = 409.41

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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.