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Finding the Fourth Proportional to 374.09, 516.17 and 216.74

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Solution

The fourth proportional to 374.09, 516.17 and 216.74 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 516.17 = 216.74 : x
  2. Step 2: Convert to fraction form
    374.09/516.17 = 216.74/x
  3. Step 3: Cross multiply
    374.09x = 516.17 × 216.74
  4. Step 4: Simplify right side
    374.09x = 111,876.52
  5. Step 5: Solve for x
    x = 111,876.52/374.09
  6. Step 6: Final answer
    x = 299.07

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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.