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Finding the Fourth Proportional to 374.30, 516.56 and 217.00

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Solution

The fourth proportional to 374.30, 516.56 and 217.00 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.30 : 516.56 = 217.00 : x
  2. Step 2: Convert to fraction form
    374.30/516.56 = 217.00/x
  3. Step 3: Cross multiply
    374.30x = 516.56 × 217.00
  4. Step 4: Simplify right side
    374.30x = 112,091.40
  5. Step 5: Solve for x
    x = 112,091.40/374.30
  6. Step 6: Final answer
    x = 299.47

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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.