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Finding the Fourth Proportional to 357.30, 492.09 and 331.78

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Solution

The fourth proportional to 357.30, 492.09 and 331.78 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 492.09 = 331.78 : x
  2. Step 2: Convert to fraction form
    357.30/492.09 = 331.78/x
  3. Step 3: Cross multiply
    357.30x = 492.09 × 331.78
  4. Step 4: Simplify right side
    357.30x = 163,265.62
  5. Step 5: Solve for x
    x = 163,265.62/357.30
  6. Step 6: Final answer
    x = 456.94

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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.