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Finding the Fourth Proportional to 374.64, 516.98 and 219.40

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Solution

The fourth proportional to 374.64, 516.98 and 219.40 is: 302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 516.98 = 219.40 : x
  2. Step 2: Convert to fraction form
    374.64/516.98 = 219.40/x
  3. Step 3: Cross multiply
    374.64x = 516.98 × 219.40
  4. Step 4: Simplify right side
    374.64x = 113,425.41
  5. Step 5: Solve for x
    x = 113,425.41/374.64
  6. Step 6: Final answer
    x = 302.76

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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.