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Finding the Fourth Proportional to 439.88, 660.05 and 180.05

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Solution

The fourth proportional to 439.88, 660.05 and 180.05 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.88 : 660.05 = 180.05 : x
  2. Step 2: Convert to fraction form
    439.88/660.05 = 180.05/x
  3. Step 3: Cross multiply
    439.88x = 660.05 × 180.05
  4. Step 4: Simplify right side
    439.88x = 118,844.10
  5. Step 5: Solve for x
    x = 118,844.10/439.88
  6. Step 6: Final answer
    x = 270.17

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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.