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Finding the Fourth Proportional to 842.33, 1,262.74 and 380.36

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Solution

The fourth proportional to 842.33, 1,262.74 and 380.36 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.33 : 1,262.74 = 380.36 : x
  2. Step 2: Convert to fraction form
    842.33/1,262.74 = 380.36/x
  3. Step 3: Cross multiply
    842.33x = 1,262.74 × 380.36
  4. Step 4: Simplify right side
    842.33x = 480,295.79
  5. Step 5: Solve for x
    x = 480,295.79/842.33
  6. Step 6: Final answer
    x = 570.20

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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.