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Finding the Fourth Proportional to 374.60, 516.74 and 219.24

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Solution

The fourth proportional to 374.60, 516.74 and 219.24 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 516.74 = 219.24 : x
  2. Step 2: Convert to fraction form
    374.60/516.74 = 219.24/x
  3. Step 3: Cross multiply
    374.60x = 516.74 × 219.24
  4. Step 4: Simplify right side
    374.60x = 113,290.08
  5. Step 5: Solve for x
    x = 113,290.08/374.60
  6. Step 6: Final answer
    x = 302.43

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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.