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Finding the Fourth Proportional to 439.49, 659.44 and 208.24

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Solution

The fourth proportional to 439.49, 659.44 and 208.24 is: 312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.49 : 659.44 = 208.24 : x
  2. Step 2: Convert to fraction form
    439.49/659.44 = 208.24/x
  3. Step 3: Cross multiply
    439.49x = 659.44 × 208.24
  4. Step 4: Simplify right side
    439.49x = 137,321.79
  5. Step 5: Solve for x
    x = 137,321.79/439.49
  6. Step 6: Final answer
    x = 312.46

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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.