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Finding the Fourth Proportional to 919.50, 1,379.25 and 270.23

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Solution

The fourth proportional to 919.50, 1,379.25 and 270.23 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.50 : 1,379.25 = 270.23 : x
  2. Step 2: Convert to fraction form
    919.50/1,379.25 = 270.23/x
  3. Step 3: Cross multiply
    919.50x = 1,379.25 × 270.23
  4. Step 4: Simplify right side
    919.50x = 372,707.83
  5. Step 5: Solve for x
    x = 372,707.83/919.50
  6. Step 6: Final answer
    x = 405.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.