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Finding the Fourth Proportional to 374.29, 516.55 and 216.96

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Solution

The fourth proportional to 374.29, 516.55 and 216.96 is: 299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.29 : 516.55 = 216.96 : x
  2. Step 2: Convert to fraction form
    374.29/516.55 = 216.96/x
  3. Step 3: Cross multiply
    374.29x = 516.55 × 216.96
  4. Step 4: Simplify right side
    374.29x = 112,071.44
  5. Step 5: Solve for x
    x = 112,071.44/374.29
  6. Step 6: Final answer
    x = 299.42

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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.