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Finding the Fourth Proportional to 331.17, 457.07 and 296.38

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Solution

The fourth proportional to 331.17, 457.07 and 296.38 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.17 : 457.07 = 296.38 : x
  2. Step 2: Convert to fraction form
    331.17/457.07 = 296.38/x
  3. Step 3: Cross multiply
    331.17x = 457.07 × 296.38
  4. Step 4: Simplify right side
    331.17x = 135,466.41
  5. Step 5: Solve for x
    x = 135,466.41/331.17
  6. Step 6: Final answer
    x = 409.05

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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.