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Finding the Fourth Proportional to 331.29, 457.46 and 314.09

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Solution

The fourth proportional to 331.29, 457.46 and 314.09 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.29 : 457.46 = 314.09 : x
  2. Step 2: Convert to fraction form
    331.29/457.46 = 314.09/x
  3. Step 3: Cross multiply
    331.29x = 457.46 × 314.09
  4. Step 4: Simplify right side
    331.29x = 143,679.75
  5. Step 5: Solve for x
    x = 143,679.75/331.29
  6. Step 6: Final answer
    x = 433.70

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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.