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Finding the Fourth Proportional to 374.50, 516.70 and 217.14

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Solution

The fourth proportional to 374.50, 516.70 and 217.14 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.50 : 516.70 = 217.14 : x
  2. Step 2: Convert to fraction form
    374.50/516.70 = 217.14/x
  3. Step 3: Cross multiply
    374.50x = 516.70 × 217.14
  4. Step 4: Simplify right side
    374.50x = 112,196.24
  5. Step 5: Solve for x
    x = 112,196.24/374.50
  6. Step 6: Final answer
    x = 299.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.