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Finding the Fourth Proportional to 431.21, 595.07 and 234.73

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Solution

The fourth proportional to 431.21, 595.07 and 234.73 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.21 : 595.07 = 234.73 : x
  2. Step 2: Convert to fraction form
    431.21/595.07 = 234.73/x
  3. Step 3: Cross multiply
    431.21x = 595.07 × 234.73
  4. Step 4: Simplify right side
    431.21x = 139,680.78
  5. Step 5: Solve for x
    x = 139,680.78/431.21
  6. Step 6: Final answer
    x = 323.93

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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.