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Finding the Fourth Proportional to 374.35, 516.58 and 216.96

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Solution

The fourth proportional to 374.35, 516.58 and 216.96 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.35 : 516.58 = 216.96 : x
  2. Step 2: Convert to fraction form
    374.35/516.58 = 216.96/x
  3. Step 3: Cross multiply
    374.35x = 516.58 × 216.96
  4. Step 4: Simplify right side
    374.35x = 112,077.20
  5. Step 5: Solve for x
    x = 112,077.20/374.35
  6. Step 6: Final answer
    x = 299.39

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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.