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Finding the Fourth Proportional to 439.40, 659.12 and 208.14

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Solution

The fourth proportional to 439.40, 659.12 and 208.14 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.40 : 659.12 = 208.14 : x
  2. Step 2: Convert to fraction form
    439.40/659.12 = 208.14/x
  3. Step 3: Cross multiply
    439.40x = 659.12 × 208.14
  4. Step 4: Simplify right side
    439.40x = 137,188.20
  5. Step 5: Solve for x
    x = 137,188.20/439.40
  6. Step 6: Final answer
    x = 312.22

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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.