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Finding the Fourth Proportional to 919.75, 1,379.64 and 270.49

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Solution

The fourth proportional to 919.75, 1,379.64 and 270.49 is: 405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.75 : 1,379.64 = 270.49 : x
  2. Step 2: Convert to fraction form
    919.75/1,379.64 = 270.49/x
  3. Step 3: Cross multiply
    919.75x = 1,379.64 × 270.49
  4. Step 4: Simplify right side
    919.75x = 373,178.82
  5. Step 5: Solve for x
    x = 373,178.82/919.75
  6. Step 6: Final answer
    x = 405.74

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Double scale
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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.