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Finding the Fourth Proportional to 374.50, 516.81 and 219.25

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Solution

The fourth proportional to 374.50, 516.81 and 219.25 is: 302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.50 : 516.81 = 219.25 : x
  2. Step 2: Convert to fraction form
    374.50/516.81 = 219.25/x
  3. Step 3: Cross multiply
    374.50x = 516.81 × 219.25
  4. Step 4: Simplify right side
    374.50x = 113,310.59
  5. Step 5: Solve for x
    x = 113,310.59/374.50
  6. Step 6: Final answer
    x = 302.57

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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.