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Finding the Fourth Proportional to 439.84, 659.60 and 419.68

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Solution

The fourth proportional to 439.84, 659.60 and 419.68 is: 629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.84 : 659.60 = 419.68 : x
  2. Step 2: Convert to fraction form
    439.84/659.60 = 419.68/x
  3. Step 3: Cross multiply
    439.84x = 659.60 × 419.68
  4. Step 4: Simplify right side
    439.84x = 276,820.93
  5. Step 5: Solve for x
    x = 276,820.93/439.84
  6. Step 6: Final answer
    x = 629.37

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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.