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Finding the Fourth Proportional to 374.86, 516.73 and 270.17

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Solution

The fourth proportional to 374.86, 516.73 and 270.17 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.86 : 516.73 = 270.17 : x
  2. Step 2: Convert to fraction form
    374.86/516.73 = 270.17/x
  3. Step 3: Cross multiply
    374.86x = 516.73 × 270.17
  4. Step 4: Simplify right side
    374.86x = 139,604.94
  5. Step 5: Solve for x
    x = 139,604.94/374.86
  6. Step 6: Final answer
    x = 372.42

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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.