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Finding the Fourth Proportional to 498.10, 746.23 and 443.42

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Solution

The fourth proportional to 498.10, 746.23 and 443.42 is: 664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.10 : 746.23 = 443.42 : x
  2. Step 2: Convert to fraction form
    498.10/746.23 = 443.42/x
  3. Step 3: Cross multiply
    498.10x = 746.23 × 443.42
  4. Step 4: Simplify right side
    498.10x = 330,893.31
  5. Step 5: Solve for x
    x = 330,893.31/498.10
  6. Step 6: Final answer
    x = 664.31

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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.