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Finding the Fourth Proportional to 735.92, 1,015.46 and 441.12

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Solution

The fourth proportional to 735.92, 1,015.46 and 441.12 is: 608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.92 : 1,015.46 = 441.12 : x
  2. Step 2: Convert to fraction form
    735.92/1,015.46 = 441.12/x
  3. Step 3: Cross multiply
    735.92x = 1,015.46 × 441.12
  4. Step 4: Simplify right side
    735.92x = 447,939.72
  5. Step 5: Solve for x
    x = 447,939.72/735.92
  6. Step 6: Final answer
    x = 608.68

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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.