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Finding the Fourth Proportional to 956.92, 1,435.41 and 263.60

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Solution

The fourth proportional to 956.92, 1,435.41 and 263.60 is: 395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.92 : 1,435.41 = 263.60 : x
  2. Step 2: Convert to fraction form
    956.92/1,435.41 = 263.60/x
  3. Step 3: Cross multiply
    956.92x = 1,435.41 × 263.60
  4. Step 4: Simplify right side
    956.92x = 378,371.79
  5. Step 5: Solve for x
    x = 378,371.79/956.92
  6. Step 6: Final answer
    x = 395.41

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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.