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Finding the Fourth Proportional to 331.65, 457.74 and 252.84

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Solution

The fourth proportional to 331.65, 457.74 and 252.84 is: 348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.65 : 457.74 = 252.84 : x
  2. Step 2: Convert to fraction form
    331.65/457.74 = 252.84/x
  3. Step 3: Cross multiply
    331.65x = 457.74 × 252.84
  4. Step 4: Simplify right side
    331.65x = 115,734.98
  5. Step 5: Solve for x
    x = 115,734.98/331.65
  6. Step 6: Final answer
    x = 348.97

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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.