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Finding the Fourth Proportional to 374.07, 516.19 and 232.24

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Solution

The fourth proportional to 374.07, 516.19 and 232.24 is: 320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.07 : 516.19 = 232.24 : x
  2. Step 2: Convert to fraction form
    374.07/516.19 = 232.24/x
  3. Step 3: Cross multiply
    374.07x = 516.19 × 232.24
  4. Step 4: Simplify right side
    374.07x = 119,878.68
  5. Step 5: Solve for x
    x = 119,878.68/374.07
  6. Step 6: Final answer
    x = 320.48

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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.