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Finding the Fourth Proportional to 374.64, 516.74 and 219.39

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Solution

The fourth proportional to 374.64, 516.74 and 219.39 is: 302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 516.74 = 219.39 : x
  2. Step 2: Convert to fraction form
    374.64/516.74 = 219.39/x
  3. Step 3: Cross multiply
    374.64x = 516.74 × 219.39
  4. Step 4: Simplify right side
    374.64x = 113,367.59
  5. Step 5: Solve for x
    x = 113,367.59/374.64
  6. Step 6: Final answer
    x = 302.60

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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.