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Finding the Fourth Proportional to 331.75, 456.60 and 294.90

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Solution

The fourth proportional to 331.75, 456.60 and 294.90 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.75 : 456.60 = 294.90 : x
  2. Step 2: Convert to fraction form
    331.75/456.60 = 294.90/x
  3. Step 3: Cross multiply
    331.75x = 456.60 × 294.90
  4. Step 4: Simplify right side
    331.75x = 134,651.34
  5. Step 5: Solve for x
    x = 134,651.34/331.75
  6. Step 6: Final answer
    x = 405.88

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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.