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Finding the Fourth Proportional to 331.69, 457.31 and 213.47

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Solution

The fourth proportional to 331.69, 457.31 and 213.47 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.69 : 457.31 = 213.47 : x
  2. Step 2: Convert to fraction form
    331.69/457.31 = 213.47/x
  3. Step 3: Cross multiply
    331.69x = 457.31 × 213.47
  4. Step 4: Simplify right side
    331.69x = 97,621.93
  5. Step 5: Solve for x
    x = 97,621.93/331.69
  6. Step 6: Final answer
    x = 294.32

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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.