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Finding the Fourth Proportional to 431.08, 594.88 and 234.59

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Solution

The fourth proportional to 431.08, 594.88 and 234.59 is: 323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.08 : 594.88 = 234.59 : x
  2. Step 2: Convert to fraction form
    431.08/594.88 = 234.59/x
  3. Step 3: Cross multiply
    431.08x = 594.88 × 234.59
  4. Step 4: Simplify right side
    431.08x = 139,551.73
  5. Step 5: Solve for x
    x = 139,551.73/431.08
  6. Step 6: Final answer
    x = 323.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.