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Finding the Fourth Proportional to 919.36, 1,379.10 and 270.16

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Solution

The fourth proportional to 919.36, 1,379.10 and 270.16 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,379.10 = 270.16 : x
  2. Step 2: Convert to fraction form
    919.36/1,379.10 = 270.16/x
  3. Step 3: Cross multiply
    919.36x = 1,379.10 × 270.16
  4. Step 4: Simplify right side
    919.36x = 372,577.66
  5. Step 5: Solve for x
    x = 372,577.66/919.36
  6. Step 6: Final answer
    x = 405.26

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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.