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Finding the Fourth Proportional to 439.57, 659.44 and 277.06

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Solution

The fourth proportional to 439.57, 659.44 and 277.06 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.57 : 659.44 = 277.06 : x
  2. Step 2: Convert to fraction form
    439.57/659.44 = 277.06/x
  3. Step 3: Cross multiply
    439.57x = 659.44 × 277.06
  4. Step 4: Simplify right side
    439.57x = 182,704.45
  5. Step 5: Solve for x
    x = 182,704.45/439.57
  6. Step 6: Final answer
    x = 415.64

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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.