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Finding the Fourth Proportional to 439.64, 659.10 and 196.40

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Solution

The fourth proportional to 439.64, 659.10 and 196.40 is: 294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.64 : 659.10 = 196.40 : x
  2. Step 2: Convert to fraction form
    439.64/659.10 = 196.40/x
  3. Step 3: Cross multiply
    439.64x = 659.10 × 196.40
  4. Step 4: Simplify right side
    439.64x = 129,447.24
  5. Step 5: Solve for x
    x = 129,447.24/439.64
  6. Step 6: Final answer
    x = 294.44

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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.