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Finding the Fourth Proportional to 331.65, 457.41 and 213.65

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Solution

The fourth proportional to 331.65, 457.41 and 213.65 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 457.41 = 213.65 : x
  2. Step 2: Convert to fraction form
    331.65/457.41 = 213.65/x
  3. Step 3: Cross multiply
    331.65x = 457.41 × 213.65
  4. Step 4: Simplify right side
    331.65x = 97,723.36
  5. Step 5: Solve for x
    x = 97,723.36/331.65
  6. Step 6: Final answer
    x = 294.66

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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.