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Finding the Fourth Proportional to 439.99, 659.81 and 180.12

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Solution

The fourth proportional to 439.99, 659.81 and 180.12 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.99 : 659.81 = 180.12 : x
  2. Step 2: Convert to fraction form
    439.99/659.81 = 180.12/x
  3. Step 3: Cross multiply
    439.99x = 659.81 × 180.12
  4. Step 4: Simplify right side
    439.99x = 118,844.08
  5. Step 5: Solve for x
    x = 118,844.08/439.99
  6. Step 6: Final answer
    x = 270.11

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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.