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Finding the Fourth Proportional to 439.70, 659.45 and 414.32

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Solution

The fourth proportional to 439.70, 659.45 and 414.32 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.70 : 659.45 = 414.32 : x
  2. Step 2: Convert to fraction form
    439.70/659.45 = 414.32/x
  3. Step 3: Cross multiply
    439.70x = 659.45 × 414.32
  4. Step 4: Simplify right side
    439.70x = 273,217.96
  5. Step 5: Solve for x
    x = 273,217.96/439.70
  6. Step 6: Final answer
    x = 621.38

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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.