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Finding the Fourth Proportional to 431.14, 594.96 and 234.65

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Solution

The fourth proportional to 431.14, 594.96 and 234.65 is: 323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.14 : 594.96 = 234.65 : x
  2. Step 2: Convert to fraction form
    431.14/594.96 = 234.65/x
  3. Step 3: Cross multiply
    431.14x = 594.96 × 234.65
  4. Step 4: Simplify right side
    431.14x = 139,609.47
  5. Step 5: Solve for x
    x = 139,609.47/431.14
  6. Step 6: Final answer
    x = 323.81

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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.