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Finding the Fourth Proportional to 905.23, 1,357.89 and 328.11

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Solution

The fourth proportional to 905.23, 1,357.89 and 328.11 is: 492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,357.89 = 328.11 : x
  2. Step 2: Convert to fraction form
    905.23/1,357.89 = 328.11/x
  3. Step 3: Cross multiply
    905.23x = 1,357.89 × 328.11
  4. Step 4: Simplify right side
    905.23x = 445,537.29
  5. Step 5: Solve for x
    x = 445,537.29/905.23
  6. Step 6: Final answer
    x = 492.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.