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Finding the Fourth Proportional to 735.78, 1,015.32 and 404.16

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Solution

The fourth proportional to 735.78, 1,015.32 and 404.16 is: 557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.78 : 1,015.32 = 404.16 : x
  2. Step 2: Convert to fraction form
    735.78/1,015.32 = 404.16/x
  3. Step 3: Cross multiply
    735.78x = 1,015.32 × 404.16
  4. Step 4: Simplify right side
    735.78x = 410,351.73
  5. Step 5: Solve for x
    x = 410,351.73/735.78
  6. Step 6: Final answer
    x = 557.71

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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.