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Finding the Fourth Proportional to 431.22, 595.06 and 234.73

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Solution

The fourth proportional to 431.22, 595.06 and 234.73 is: 323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.22 : 595.06 = 234.73 : x
  2. Step 2: Convert to fraction form
    431.22/595.06 = 234.73/x
  3. Step 3: Cross multiply
    431.22x = 595.06 × 234.73
  4. Step 4: Simplify right side
    431.22x = 139,675.46
  5. Step 5: Solve for x
    x = 139,675.46/431.22
  6. Step 6: Final answer
    x = 323.91

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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.