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Finding the Fourth Proportional to 919.69, 1,379.38 and 261.52

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Solution

The fourth proportional to 919.69, 1,379.38 and 261.52 is: 392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.69 : 1,379.38 = 261.52 : x
  2. Step 2: Convert to fraction form
    919.69/1,379.38 = 261.52/x
  3. Step 3: Cross multiply
    919.69x = 1,379.38 × 261.52
  4. Step 4: Simplify right side
    919.69x = 360,735.46
  5. Step 5: Solve for x
    x = 360,735.46/919.69
  6. Step 6: Final answer
    x = 392.24

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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.