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Finding the Fourth Proportional to 919.94, 1,380.14 and 270.66

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Solution

The fourth proportional to 919.94, 1,380.14 and 270.66 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.94 : 1,380.14 = 270.66 : x
  2. Step 2: Convert to fraction form
    919.94/1,380.14 = 270.66/x
  3. Step 3: Cross multiply
    919.94x = 1,380.14 × 270.66
  4. Step 4: Simplify right side
    919.94x = 373,547.34
  5. Step 5: Solve for x
    x = 373,547.34/919.94
  6. Step 6: Final answer
    x = 406.06

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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.