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Finding the Fourth Proportional to 919.84, 1,380.02 and 270.64

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Solution

The fourth proportional to 919.84, 1,380.02 and 270.64 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.84 : 1,380.02 = 270.64 : x
  2. Step 2: Convert to fraction form
    919.84/1,380.02 = 270.64/x
  3. Step 3: Cross multiply
    919.84x = 1,380.02 × 270.64
  4. Step 4: Simplify right side
    919.84x = 373,488.61
  5. Step 5: Solve for x
    x = 373,488.61/919.84
  6. Step 6: Final answer
    x = 406.04

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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.