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Finding the Fourth Proportional to 440.09, 659.35 and 414.07

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Solution

The fourth proportional to 440.09, 659.35 and 414.07 is: 620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.09 : 659.35 = 414.07 : x
  2. Step 2: Convert to fraction form
    440.09/659.35 = 414.07/x
  3. Step 3: Cross multiply
    440.09x = 659.35 × 414.07
  4. Step 4: Simplify right side
    440.09x = 273,014.37
  5. Step 5: Solve for x
    x = 273,014.37/440.09
  6. Step 6: Final answer
    x = 620.36

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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.