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Finding the Fourth Proportional to 374.55, 516.66 and 232.83

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Solution

The fourth proportional to 374.55, 516.66 and 232.83 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.55 : 516.66 = 232.83 : x
  2. Step 2: Convert to fraction form
    374.55/516.66 = 232.83/x
  3. Step 3: Cross multiply
    374.55x = 516.66 × 232.83
  4. Step 4: Simplify right side
    374.55x = 120,293.95
  5. Step 5: Solve for x
    x = 120,293.95/374.55
  6. Step 6: Final answer
    x = 321.17

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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.