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Finding the Fourth Proportional to 439.63, 659.23 and 131.40

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Solution

The fourth proportional to 439.63, 659.23 and 131.40 is: 197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.63 : 659.23 = 131.40 : x
  2. Step 2: Convert to fraction form
    439.63/659.23 = 131.40/x
  3. Step 3: Cross multiply
    439.63x = 659.23 × 131.40
  4. Step 4: Simplify right side
    439.63x = 86,622.82
  5. Step 5: Solve for x
    x = 86,622.82/439.63
  6. Step 6: Final answer
    x = 197.04

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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.